SOLUTION: I need to solve 3/x-4 = x/x-2 for x.

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Question 218486: I need to solve 3/x-4 = x/x-2 for x.
Found 2 solutions by chibisan, stanbon:
Answer by chibisan(131) About Me  (Show Source):
You can put this solution on YOUR website!
cross multiply
3(x-2) = (x-4)(x-2)
3x - 6= x^2-2x-4x+8
3x - 6 = x^2 - 6x + 8
0 = x^2 -6x - 3x + 8 + 6
0 = x^2 - 9x + 14
0 = (x - 2)(x - 7)
x = 2 or x = 7

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve 3/x-4 = x/x-2 for x.
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Cross-multiply to get:
3x-6 = x^2-4x
Rearrange:
x^2-7x+6 = 0
Factor:
(x-6)(x-1) = 0
x = 6 or x = 1
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Cheers,
Stan H.