SOLUTION: I am having difficulty solving this rationa expression and simplfing it can someone help? Solve x-2/x-6-4/x=24/x^2-6x

Question 370526: I am having difficulty solving this rationa expression and simplfing it can someone help? Solve x-2/x-6-4/x=24/x^2-6x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve (x-2)/(x-6)-(4/x) =24/(x^2-6x)
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Multiply thru by x(x-6) to get:
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x(x-2) - 4(x-6) = 24
----
x^2-2x-4x+24 = 24
----------------
x^2-6x = 0
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x(x-6) = 0
x = 0 or x = 6.
----
But x cannot be 0 and x cannot be 6
because "x" and "x-6" are denominators
in the original problem.
---
Therefore no solution.
===========================
Cheers,
Stan H.

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