SOLUTION: I tried to solve this on my own but i don't understand how i would even go about correctly starting it. 6x/x+4=2x+2/x-1

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Question 179525This question is from textbook Algebra 2 an integrated approach
: I tried to solve this on my own but i don't understand how i would even go about correctly starting it.
6x/x+4=2x+2/x-1 This question is from textbook Algebra 2 an integrated approach

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6x/(x+4) = (2x+2)/(x-1))
Cross multiply to get:
6x(x-1) = (x+4)(2x+2)
Simplify:
6x^2 - 6x = 2x^2 +10x + 8
4x^2 - 16x - 8 = 0
x^2 - 4x -2 = 0
x = [4 +- sqrt(16 - 4*1*-2)]/2
x = [4 +- sqrt(24)]/2
x = [4 +- 2sqrt(6)]/2
x = [2 +- sqrt(6)]
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Cheers,
Stan H.