SOLUTION: Solve the equation by factoring. Please show work. 7x^2 = 2+5x

Algebra ->  Radicals -> SOLUTION: Solve the equation by factoring. Please show work. 7x^2 = 2+5x      Log On


   

Question 1009876: Solve the equation by factoring. Please show work.
7x^2 = 2+5x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

7x%5E2+=+2%2B5x
7x%5E2-5x-2=0
7x%5E2-7x%2B2x-2=0
%287x%5E2-7x%29%2B%282x-2%29=0
7x%28x-1%29%2B2%28x-1%29=0
%287x%2B2%29%28x-1%29=0
solutions:
if %287x%2B2%29=0=>7x=-2=>highlight%28x=-2%2F7%29
if %28x-1%29=0=>highlight%28x=1%29