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Make sure you rewrite the equation leaving all the terms on one side, and that you factor out the greatest common factor if it exists. Then, apply the Zero Product Property.
0, 12
We want to solve the given equation by factoring.
Let's start by writing all the terms on one side of the equals sign. We will also factor out a greatest common factor, if we find one.
LHS-12a=RHS-12a
Subtract terms
Factor out a
To solve this equation, we will apply the Zero Product Property.
Use the Zero Product Property
(II): LHS+12=RHS+12
We found that the solutions to the given equation are a=0 and a=12.
To check our answer, we will graph the related function y=x(x-12) using a calculator. Note that in the calculator we will use the variable x instead of a.
We can see that the x-intercepts are 0 and 12. Therefore, the solutions are correct.