SOLUTION: what is x minus 2 over x minus 1 = x plus 4 over 2x plus 2

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Question 773399: what is x minus 2 over x minus 1 = x plus 4 over 2x plus 2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+-+2%29%2F%28x+-+1%29 = %28x+%2B+4%29%2F%282x+%2B+2%29
Cross multiply
(2x+2)(x-2) = (x+4)(x-1)
FOIL
2x^2 - 2x - 4 = x^2 + 3x - 4
combine on the left
2x^2 - x^2 - 2x - 3x - 4 + 4 = 0
x^2 - 5x = 0
Factor
x(x-5) = 0
Two solutions
x = 0
x = 5
:
Check both solutions in the original equation