SOLUTION: Solve for x: (2x − 5)(3x + 6) = 0 I have to figure out this problem, but I'm not too sure how to solve these.Could you please show me the steps in order to solve this pro

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve for x: (2x − 5)(3x + 6) = 0 I have to figure out this problem, but I'm not too sure how to solve these.Could you please show me the steps in order to solve this pro      Log On


   

Question 738026: Solve for x:
(2x − 5)(3x + 6) = 0
I have to figure out this problem, but I'm not too sure how to solve these.Could you please show me the steps in order to solve this problem? Thank you!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%282x-5%29%283x+%2B+6%29+=+0.......The "Zero Product Property" says:
If
%282x-5%29%283x+%2B+6%29+=+0 then %282x-5%29+=+0 or %283x+%2B+6%29+=+0
so, if %282x-5%29+=+0 => 2x+=5 => x+=5%2F2
and if %283x+%2B+6%29+=+0 => 3x=-6 => x+=-6%2F3 => x+=-2