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In this tutorial, youll see how to factor a quadratic equation using the guess and check method of factoring. We can use the zero-product property to solve quadratic equations in which we first have to factor out the greatest common factor (GCF), and for equations that have special factoring formulas as well, such as the difference of squares, both of which we will see later in this section. How Do You Solve a Quadratic Equation by Factoring One of the many ways you can solve a quadratic equation is by factoring it. Factoring Method Set the equation equal to zero, that is, get all the nonzero terms on one side of the equal sign and 0 on the other. Im not done, though, because the original exercise told me to 'check', which means that I. To solve quadratic equations by factoring, we must make use of the zero-factor property. These two values are the solution to the original quadratic equation. Factorization of quadratic equations can be done in different methods. Factorization Method of Quadratic Equations. In this article, you will learn the methods of solving quadratic equations by factoring, as well as examples with solutions. For example, equations such as 2+x - 6=0 is in standard form. Now I can solve each factor by setting each one equal to zero and solving the resulting linear equations: x + 2 0 or x + 3 0. As the degree of quadratic equation 2, it contains two roots. Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero). Transform the equation using standard form in which one side is zero. To solve an quadratic equation using factoring : 1. An equation containing a second-degree polynomial is called a quadratic equation. Solving Quadratic Equations Using Factoring.