SOLUTION: Please help me solve this problem: (2)/x(x-1)=1+(2)/(x-1)solve for x

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Question 359601: Please help me solve this problem: (2)/x(x-1)=1+(2)/(x-1)solve for x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a common denominator, x%28x-1%29
2%2F%28x%28x-1%29%29=%28x%28x-1%29%29%2F%28x%28x-1%29%29%2B%282x%29%2F%28x%28x-1%29%29
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%282-%28x%28x-1%29%29-2x%29%2F%28x%28x-1%29%29=0
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%282-%28x%5E2-x%29-2x%29%2F%28x%28x-1%29%29=0
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%282-x%5E2%2Bx-2x%29%2F%28x%28x-1%29%29=0
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%28-x%5E2-x%2B2%29%2F%28x%28x-1%29%29=0
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%28-%28x%2B2%29%28x-1%29%29%2F%28x%28x-1%29%29=0
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%28x%2B2%29%2Fx=0
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x%2B2=0
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highlight%28x=-2%29