SOLUTION: (10x+7)^2=2(32x^2+70x+25)I'm completely confused. Could you give me step by step. (State factoring type aswell)

Algebra ->  Equations -> SOLUTION: (10x+7)^2=2(32x^2+70x+25)I'm completely confused. Could you give me step by step. (State factoring type aswell)      Log On


   

Question 858562: (10x+7)^2=2(32x^2+70x+25)I'm completely confused. Could you give me step by step. (State factoring type aswell)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
(10x+7)^2 = 2(32x^2+70x+25)
FOIL the left side, distribute the right side
(10x+7)(10x+7) = 64x^2 + 140x + 50
100x^2 + 70x + 70x + 49 = 64x^2 + 140x + 50
Combine like terms on the left
100x^2 - 64x^2 + 70x + 70x - 140x + 49 - 50 = 0
36x^2 - 1 = 0
Factors as the difference of squares
(6x+1)(6x-1) = 0
6x = +/-1
x = +/-1%2F6