Factoring is used to solve quadratic equations in order to turn each term into zero to get a solution set. Using the form ax^2+bx+c=0, you need to figure out what numbers would equal c when they are multiplied while the same numbers will total the amount of b when they're added. An example would be 5x^2-5x-10=0.
5x^2-5x-10
5x(x-2)(x+1)=0
Because the a in ax^2 is equal to zero, 5x=0. Since x-2=0 and x+1=0 the solution sets are x=0, x=2, x=-1
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