SOLUTION: how to solve the equation by converting to the form ax^2+bx+c=0 then factoring and using the zero product property 8x^2-14x=15

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Question 927249: how to solve the equation by converting to the form ax^2+bx+c=0 then factoring and using the zero product property 8x^2-14x=15
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

converting to the form ax%5E2%2Bbx%2Bc=0
8x%5E2-14x=15
8x%5E2-14x-15=0
then factoring and using the zero product property

8x%5E2-14x-15=0 ..to factor completely, first write -14x as 6x-20x
8x%5E2%2B6x-20x-15=0...group
%288x%5E2%2B6x%29-%2820x%2B15%29=0
2x%284x%2B3%29-5%284x%2B3%29=0
%282x-5%29%284x%2B3%29=0...find zeros

solutions:
if %282x-5%29=0=>2x=5=>x=5%2F2
if %284x%2B3%29=0=>4x=-3=>x=-3%2F4