# Solve Factoring Problems

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But what about equations where the variable carries an exponent, like x Solving the first subproblem, x - 2 = 0, gives x = 2. You should observe that as long as a does not equal 0, b must be equal to zero.

In particular, we can set each of the factors equal to zero, and solve the resulting equation for one solution of the original equation.

We can only draw the helpful conclusion about the factors (namely, that one of those factors must have been equal to zero, so we can set the factors equal to zero) if the product itself equals zero.

Create three subproblems by setting each factor equal to zero.

4 = 0 actually has two imaginary number solutions, but we will save Imaginary Numbers for another lesson!

• ###### Step-by-Step Math Problem Solver

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose.…

• ###### Solve a Quadratic Equation by Factoring - WebMath

Solve a Quadratic Equation by Factoring. Well, suppose you have a quadratic equation that can be factored, like. So the solutions must be x=-2 and x=-3. Note that if your quadratic equation cannot be factored, then this method will not work. Type the quadratic equation here in general form. =0.…

• ###### Solve by Factoring Lessons Wyzant Resources

The Solve by Factoring process will require four major steps Move all terms to one side of the equation, usually the left, using addition or subtraction. Factor the equation completely. Set each factor equal to zero, and solve. List each solution from Step 3 as a solution to the original.…

• ###### Cymath Math Problem Solver with Steps Math Solving App

Solve calculus and algebra problems online with Cymath math problem solver with steps to show your work. Get the Cymath math solving app on your smartphone!…

• ###### Solving Quadratics by Factoring - mesacc.edu

Use a factoring strategies to factor the problem. Step 3 Use the Zero Product Property and set each factor containing a variable equal to zero. Step 4 Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.…

• ###### Factoring Calculator - MathPapa

Shows you step-by-step how to factor expressions! This calculator will solve your problems.…

• ###### Solving Quadratic Equations by Factoring Purplemath

This lesson covers many ways to solve quadratics, such as taking square roots, completing the square, and using the Quadratic Formula. But we'll start with solving by factoring. Before reaching the topic of solving quadratic equations, you should already know how to factor quadratic expressions. If not, first review how to factor quadratics.…

• ###### Factoring Calculator - Free Math Help

Enter your problem in the box above and click the blue arrow to submit your question you may see a range of appropriate solvers such as "Factor" appear if there are multiple options. If you're not sure what to enter, look over the sample problems below to see the types of expressions this tool can factorise.…