How Do You Solve Quadratic Equations By Factoring?
There are many ways to solve quadratic equations. Typically, however, the easiest way to solve a quadratic equation is to use factoring. Follow the steps in this article to learn a simple, fast way solve these equations. Convert the equation to quadratic form (ax^2 + bx + c = 0), if it has not been converted already. This article will be using the problem 3x^2 – 20x = 7 as an example. Subtract 7 from both sides, so that your equation becomes 3x^2 – 20x = 7 = 0. Remove the ‘0’ so that your equation now simply reads 3x^2 – 20x – 7. Factor the equation. Since bx & c are both negative, (-20x & -7), we know we must have one factor with a positive and one with a negative. That means our base would be (3x + )(x – ). Because 3x times 7 = 21x, we know we must put 7 in the second factor, because that is the closest number to 20x. That means our factored equation is (3x + 1)(x – 7). Take the first factor (3x + 1), remove the parentheses and add ‘0’ to the end, leaving you with 3x + 1 = 0. Now sol
