Solve equations
Author: M | 2025-04-24
Solving One-Step Equations - Solving 2 Step Equations - Solving 2- Step Equations - Solving quadratic equations - Match Up Solving 2 Step Equations
Solving an Equation (How to Solve an Equation with Examples)
We no longer support Internet Explorer v10 and older, or you have compatibility view enabled. Disable Compatibility view, upgrade to a newer version, or use a different browser. Community Tip - Want the oppurtunity to discuss enhancements to PTC products? Join a working group! X 13-Aquamarine Feb 19, 2024 09:51 AM Solving for a variable in MathCAD Hi, I am looking to solve for F2 in the below image, Can anyone help on how to get this working in MathCad please? All forum topics Previous Topic Next Topic ACCEPTED SOLUTION Feb 19, 2024 10:35 AM @Deepakjohsh wrote:Hi, I am looking to solve for F2 in the below image, Can anyone help on how to get this working in MathCad please? Sure! Attach your worksheet and if you are not using Mathcad but rather Prime you should also state which version you are using.You seem to have five equations and five unknowns.Have not checked if the equations are independent, but if they are you may either use a solve block with "find" or put the five equations in a 5x1 matrix and use the symbolic "solve" command.EDIT: Just noticed that you have SIX unknowns but only FIVE equations! So you can expect an infinite number of possible solutions!!Maybe you'd like to recheck!Here an approach done with Mathcad and a numeric solve block. Different guess values may yield different results, though. 6 REPLIES 6 Feb 19, 2024 10:35 AM @Deepakjohsh wrote:Hi, I am looking to solve for F2 in the below image, Can anyone help on how to get this working in MathCad please? Sure! Attach your worksheet and if you are not using Mathcad but rather Prime you should also state which version you are using.You seem to have five equations and five unknowns.Have not checked if the equations are independent, but if they are you may either use a solve block with "find" or put the five equations in a 5x1 matrix and use the symbolic "solve" command.EDIT: Just noticed that you have SIX unknowns but only FIVE equations! So you can expect an infinite number of possible solutions!!Maybe you'd like to recheck!Here an approach done with Mathcad and a numeric solve block. Different guess values may yield different results, though. Feb 19, 2024 11:30 PM Thanks a ton Werner! I have understood what went wrong in my approach.Below is the screenshot of the mistake I had done. Feb 20, 2024 12:51 AM Yes, you have to use "Find" to solve for all of the unknowns, even though you might not be interested in them.And you have to use the boolean equal for all the equations, not the assignment equal (:=).But there still are too few equations (just five) for Solve equations and inequalities Simplify expressions Factor polynomials Graph equations and inequalities Advanced solvers All solvers Tutorials Differentiate Basic Advanced Integrate Basic Advanced Partial Fractions Basic Advanced Matrices Arithmetics Inverse Determinant Simplify Basic Advanced Solve Basic Advanced Factor Basic Advanced Expand Basic Advanced Graph Basic Advanced Arithmetics Percentages Scientific Notation Expressions Simplify Expand Factor Equations Quadratics Solve Graph Inequalities Solve Graph Fractions Reduce Add Graph Equations Inequalities Welcome to Quickmath Solvers! Welcome to QuickMath main tutorials page.This is work in progress, so please keep checking! Linear equations Linear equations are the easiest ones to solve. Don't try any other equations before you master these with our tutorials and interactive linear equation solvers. Graphing functions Graphing functions is very similar graphing equations. Here you will learn proper functional notation as well as graphing functions that are more complex that the ones found in Graphing equations tutorials. Absolute value Are absolute values absolutely incomprehensible? Take a quick look at our step-by-step tutorials with interactive absolute value problem solvers. Roots and radicals Math roots worse than root canals? Not with our tutorials and interactive solvers. You will learn how to add, subtract multiply and divide roots as well as rationalize denominators. Exponents and polynomials Are you unsure about exponent rules, polynomial operations and similar topics? These tutorials will teach you the basic rules and operations, and our polynomial solvers will generate infintely many step-by-step solutions to a variety of problems Quadratic equations Quadratic equations are a little bit trickier than linear ones. If you are unsure about linear equations go over linear equations tutorials first. If you think you can handle them, use our quadratic equations tutorials and interactive solvers to learn about quadratic formula and other ways of solving second order equations. Complex numbers Are complex numbers too complex to learn? No, they are not if you use our complex number solvers and interactive tutorials. You will learn about why we need them, what an imaginary unit is, and a lot of other interesting things. Factoring polynomials Have problems with factoring? Which rule to apply when? Take a look at these handy interactive tutorials on different factoring methods. Fractions and rational expressions Are fractions giving you a headache? Learn how to reduce fractions and simplify a variety of rational expressions using our tutorials that include interactive fraction solvers. Arithmetic with integers and real numbers Need a bit of a brush up onEQUATIONS for Kids Solving Equations with Addition and
Proportions are used for a variety of goals: determining a 'normal' weight for a baby at a certain age, calculating distances on maps, identifying inventory rates for businesses, ... MATHguide has a lessons that explains the mathematical nature of proportions, if you require a refresher on the topic. esson: Proportions The sections that follow will allow you to understand how to solve complicated proportions that lead to linear and quadratic equations. The second type of complicated proportion leads to linear equations. Before progressing, you will need to know how to solve linear equations. Review this lesson, if necessary, before progressing. esson: Solving Linear Equations Take a look at this example to see how to solve a complicated proportions.Example: Solve this proportion. We know from our knowledge of proportions (see Proportions) that cross-products must be equal. So, cross-multiply. Cross-multiplying results with these two equal products. The steps that follow will indicate how the linear equation can be solved for the a-value. Do the distributive property. Subtract 3a from both sides of the equation. Add 32 to both sides of the equation. Divide both sides of the equation by -11. Rounded to the nearest 10th, the solution is... This video will inform you as to how to solve this type of complicated proportion. ideo: Solving Complicated Proportions Try these interactive quizmasters to determine if you have the hang of it. The first type of complicated proportion leads to quadratic equations. Before progressing, you will need to know how to solve quadratic equations. Review this lesson, if necessary, before progressing. esson: Solving Quadratic Equations Review this example, which will demonstrate how to solve complicated proportions.Example: Solve this proportion. Like the problem in the previous section (see Solving Complicated Proportions), we can use the cross-products to begin on our journey to solve for the h-value. Here are those cross-products. Multiply the two binomials. A multiplication table is best here (see Multiplying Polynomials for help). Add 40 to both sides of the equation. Now, factor the trinomial (see Factoring Trinomials for help). Next, we set the factors equal to zero (see for help). Last, we solve each equation separately to gain two solutions. Note, be careful to look at the denominators of our original problem. We have to be careful not to get a zero in a denominator because zero denominators are illogical and therefore unacceptable. If we substitute h=-4 into the original problem, the. Solving One-Step Equations - Solving 2 Step Equations - Solving 2- Step Equations - Solving quadratic equations - Match Up Solving 2 Step EquationsSimultaneous equations - Solving simultaneous equations
This segment has an endless collection of equation worksheets based on solving one-step, two-step and multi-step equations; rearranging literal equations, writing the equation of a line in various forms; graphing linear equation and more. High-school topics such as quadratic equation, absolute value equation and systems of equations are also featured here. Practice solving the equations by using the various download options available. A number of free printable worksheets are also up for grabs!One-step equation worksheetsThis set of worksheets requires students to solve one-step equations involving integers, fractions and decimals by performing addition, subtraction, multiplication or division operations. It also contains math riddles, finding the cost of the objects, translating the phrases into one-step equation and more.Two-step equation worksheetsClick on the link to access exclusive worksheets on solving two-step equations that include integers, fractions and decimals. A number of MCQ's, equations in geometry, translating two-step equations and many more exercises are available for practice.Multi-step equation worksheetsThese worksheets require students to perform multiple steps to solve the equations. Use the knowledge gained in solving one-step and two-step equations to solve these multi-step equations. A number of application oriented problems based on geometrical shapes are also included here.Equation word problems worksheetsDownload and print this enormous collection of one-step, two-step and multi-step equation word problems that include integers, fractions, and decimals. MCQ worksheets form a perfect tool to examine a learner's perception on the topic.Rearranging Equations worksheetsLiteral equation worksheets help to hone the skills like rearranging the literal equations, rearrange and evaluate, word problems containing real-life applications and a lot more are included.Equation of a line worksheetsClick here for worksheets on equation of a line. Write the equation of a line in standard form, two-point form, slope-intercept form and point-slope form. Download the complete set of worksheets on equation of a line that comprise worksheets on parallel and perpendicular lines as well.Graphing linear equation worksheetsYou are just a click away from a huge collection of worksheets on graphing linear equations. Plot the points and graph the line. Use the x values to complete the function tables and graph the line. The MCQ worksheets form a perfect tool to test student's knowledge on this topic.Quadratic equation worksheetsClick on the link for an extensive set of worksheets on quadratic equations. Solve the quadratic equations by factoring, completing the square, quadratic formula or square root methods. Find the sum and product of the roots. Analyze the nature How to Factor Quadratic Equations—Step-by-Step Examples and Tutorial --> Step-by-Step Guide: How to Factor a Quadratic Equation, How to Solve Quadratic Equations by Factoring Step-by-Step Guide: How to factor a quadratic equation explained. In algebra, a quadratic equation is an equation of the form ax² + bx + c = 0 where a can not equal zero.The word quad is Latin for four or fourth, which is why a quadratic equation has four terms (ax², bx, c, and 0). Being able to solve quadratic equations by factoring is an incredibly important algebra skill that every student will need to learn in order to be successful in Algebra I, Algebra II, and beyond. Learning how to factor a quadratic equation comes down to being able to recognize a quadratic equation, being able to factor it, and then finally being able to solve for x and check your answer for mistakes.This free Step-by-Step Guide on How to Factor Quadratic Equations will cover the following topics:What is a Quadratic Equation? What are the Solutions of a Quadratic Equation?How to Factor Quadratic Equations when a=1How to Factor Quadratic Equations when a≠1?Note that this guide is a follow-up to our free step-by-step guide How to How to Factor Polynomials, which reviews how to factor polynomials with 2 terms, 3 terms, and 4 terms. While we will review general factoring in this guide, we will be more focused on how to factor a quadratic equation. However, before we learn how to factor quadratic equations and how to solve quadratic equations by factoring, let’s quickly review some important vocabulary terms related to quadratics and quadratic equations. Figure 01: What is the difference between a trinomial expression and a quadratic equation. What is a Trinomial Expression?While the focus of this guide is on teaching you how to factor quadratic equations and how to solve quadratic equations by factoring, it is important that you first understand how the difference between a trinomial expression and a quadratic equation.In algebra, a trinomial expression is a polynomial with 3 terms of the form ax² + bx + c. Note that, since it is an expression, a trinomial does not include an equal sign. ax² + bx + c What is a Quadratic Equation?In algebra, a quadratic equation is a trinomial of the form ax² + bx + c that is equal to zero. So, we can say that a quadratic equation is of the form: ax² + bx + c = 0Figure 01 above illustrates this key difference between trinomial expressions and quadratic equations, which is namely that a quadratic equation is an equation and includes a fourth term (=0).Why are we concerned with quadratic equations being equal to zero? You mayDifferential Equations - Solving the Heat Equation
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When you want to quickly solve a simple mathematical equation, you have to either ask your elder brother or your teacher. When none of them are available at hand, you can turn to Google. But if you also want to see the steps involved in solving an equation, then you may want to use an application like Alternate Math Solver.This small application works offline and can solve equations in one variable. You can type in the equation using standard mathematical notations. All the mathematical operators including multiplication should be used appropriately. For example, it fails to understand 2x + 16 = 0 because we have not used multiplication sign between 2 and x. It will accept the same equation in a different format: 2*x + 16 = 0.After entering an equation, you can simply click on the Solve button. It will either display an error because you did not format the equation properly, or it will show you the solution along with all the steps involved. Depending on the equation, it may take only a few steps or many many steps to arrive at the result. You can save the equation or its solution to a file for later reference. You can also plot a graph of the equation.I tried entering quadratic equations such as x*2 – 5*x + 6 = 0 which it solves but there are two problems. First, it solves it using a non-standard method. And secondly, it shows only one possible solution. If you are a student looking for steps of solution, this will only confuse you. Further experiments with other equations such as x^2 – 9 = 0 also led to the similar results.Alternate Math Solver can solve some simple mathematical equations in one variable. It can involve logarithmic or exponential functions. It cannot solve higher mathematical equations like quadratic equations, differential equations or those involving complex numbers.You can download Alternate Math Solver from Post navigation. Solving One-Step Equations - Solving 2 Step Equations - Solving 2- Step Equations - Solving quadratic equations - Match Up Solving 2 Step Equations Solving Systems of Equations - Sort Systems of Equations - Solving Linear Equations and Systems - Systems of Equations Graphs - Solving One-Step EquationsHow to solve an Equation
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We no longer support Internet Explorer v10 and older, or you have compatibility view enabled. Disable Compatibility view, upgrade to a newer version, or use a different browser. Community Tip - Want the oppurtunity to discuss enhancements to PTC products? Join a working group! X 13-Aquamarine Feb 19, 2024 09:51 AM Solving for a variable in MathCAD Hi, I am looking to solve for F2 in the below image, Can anyone help on how to get this working in MathCad please? All forum topics Previous Topic Next Topic ACCEPTED SOLUTION Feb 19, 2024 10:35 AM @Deepakjohsh wrote:Hi, I am looking to solve for F2 in the below image, Can anyone help on how to get this working in MathCad please? Sure! Attach your worksheet and if you are not using Mathcad but rather Prime you should also state which version you are using.You seem to have five equations and five unknowns.Have not checked if the equations are independent, but if they are you may either use a solve block with "find" or put the five equations in a 5x1 matrix and use the symbolic "solve" command.EDIT: Just noticed that you have SIX unknowns but only FIVE equations! So you can expect an infinite number of possible solutions!!Maybe you'd like to recheck!Here an approach done with Mathcad and a numeric solve block. Different guess values may yield different results, though. 6 REPLIES 6 Feb 19, 2024 10:35 AM @Deepakjohsh wrote:Hi, I am looking to solve for F2 in the below image, Can anyone help on how to get this working in MathCad please? Sure! Attach your worksheet and if you are not using Mathcad but rather Prime you should also state which version you are using.You seem to have five equations and five unknowns.Have not checked if the equations are independent, but if they are you may either use a solve block with "find" or put the five equations in a 5x1 matrix and use the symbolic "solve" command.EDIT: Just noticed that you have SIX unknowns but only FIVE equations! So you can expect an infinite number of possible solutions!!Maybe you'd like to recheck!Here an approach done with Mathcad and a numeric solve block. Different guess values may yield different results, though. Feb 19, 2024 11:30 PM Thanks a ton Werner! I have understood what went wrong in my approach.Below is the screenshot of the mistake I had done. Feb 20, 2024 12:51 AM Yes, you have to use "Find" to solve for all of the unknowns, even though you might not be interested in them.And you have to use the boolean equal for all the equations, not the assignment equal (:=).But there still are too few equations (just five) for
2025-04-14Solve equations and inequalities Simplify expressions Factor polynomials Graph equations and inequalities Advanced solvers All solvers Tutorials Differentiate Basic Advanced Integrate Basic Advanced Partial Fractions Basic Advanced Matrices Arithmetics Inverse Determinant Simplify Basic Advanced Solve Basic Advanced Factor Basic Advanced Expand Basic Advanced Graph Basic Advanced Arithmetics Percentages Scientific Notation Expressions Simplify Expand Factor Equations Quadratics Solve Graph Inequalities Solve Graph Fractions Reduce Add Graph Equations Inequalities Welcome to Quickmath Solvers! Welcome to QuickMath main tutorials page.This is work in progress, so please keep checking! Linear equations Linear equations are the easiest ones to solve. Don't try any other equations before you master these with our tutorials and interactive linear equation solvers. Graphing functions Graphing functions is very similar graphing equations. Here you will learn proper functional notation as well as graphing functions that are more complex that the ones found in Graphing equations tutorials. Absolute value Are absolute values absolutely incomprehensible? Take a quick look at our step-by-step tutorials with interactive absolute value problem solvers. Roots and radicals Math roots worse than root canals? Not with our tutorials and interactive solvers. You will learn how to add, subtract multiply and divide roots as well as rationalize denominators. Exponents and polynomials Are you unsure about exponent rules, polynomial operations and similar topics? These tutorials will teach you the basic rules and operations, and our polynomial solvers will generate infintely many step-by-step solutions to a variety of problems Quadratic equations Quadratic equations are a little bit trickier than linear ones. If you are unsure about linear equations go over linear equations tutorials first. If you think you can handle them, use our quadratic equations tutorials and interactive solvers to learn about quadratic formula and other ways of solving second order equations. Complex numbers Are complex numbers too complex to learn? No, they are not if you use our complex number solvers and interactive tutorials. You will learn about why we need them, what an imaginary unit is, and a lot of other interesting things. Factoring polynomials Have problems with factoring? Which rule to apply when? Take a look at these handy interactive tutorials on different factoring methods. Fractions and rational expressions Are fractions giving you a headache? Learn how to reduce fractions and simplify a variety of rational expressions using our tutorials that include interactive fraction solvers. Arithmetic with integers and real numbers Need a bit of a brush up on
2025-04-08Proportions are used for a variety of goals: determining a 'normal' weight for a baby at a certain age, calculating distances on maps, identifying inventory rates for businesses, ... MATHguide has a lessons that explains the mathematical nature of proportions, if you require a refresher on the topic. esson: Proportions The sections that follow will allow you to understand how to solve complicated proportions that lead to linear and quadratic equations. The second type of complicated proportion leads to linear equations. Before progressing, you will need to know how to solve linear equations. Review this lesson, if necessary, before progressing. esson: Solving Linear Equations Take a look at this example to see how to solve a complicated proportions.Example: Solve this proportion. We know from our knowledge of proportions (see Proportions) that cross-products must be equal. So, cross-multiply. Cross-multiplying results with these two equal products. The steps that follow will indicate how the linear equation can be solved for the a-value. Do the distributive property. Subtract 3a from both sides of the equation. Add 32 to both sides of the equation. Divide both sides of the equation by -11. Rounded to the nearest 10th, the solution is... This video will inform you as to how to solve this type of complicated proportion. ideo: Solving Complicated Proportions Try these interactive quizmasters to determine if you have the hang of it. The first type of complicated proportion leads to quadratic equations. Before progressing, you will need to know how to solve quadratic equations. Review this lesson, if necessary, before progressing. esson: Solving Quadratic Equations Review this example, which will demonstrate how to solve complicated proportions.Example: Solve this proportion. Like the problem in the previous section (see Solving Complicated Proportions), we can use the cross-products to begin on our journey to solve for the h-value. Here are those cross-products. Multiply the two binomials. A multiplication table is best here (see Multiplying Polynomials for help). Add 40 to both sides of the equation. Now, factor the trinomial (see Factoring Trinomials for help). Next, we set the factors equal to zero (see for help). Last, we solve each equation separately to gain two solutions. Note, be careful to look at the denominators of our original problem. We have to be careful not to get a zero in a denominator because zero denominators are illogical and therefore unacceptable. If we substitute h=-4 into the original problem, the
2025-04-21