Question 179525
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.