SOLUTION: Solve the equation. 7/x - 1/x-3 = 9/x squared-3x

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Question 117831: Solve the equation.
7/x - 1/x-3 = 9/x squared-3x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7%2F%28x%29+-+1%2F%28x-3%29+=+9%2F%28x%5E2-3x%29 Start with the given expression



7%2F%28x%29+-+1%2F%28x-3%29+=+9%2F%28x%28x-3%29%29 Factor x%5E2-3x


Multiply both sides by the LCD %28x%29%28x-3%29




7%28x-3%29+-+x=9 Distribute and multiply


7x-21-x=9 Distribute again


6x-21=9 Combine like terms on the left side


6x=9%2B21Add 21 to both sides


6x=30 Combine like terms on the right side


x=%2830%29%2F%286%29 Divide both sides by 6 to isolate x



x=5 Divide

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Answer:
So our answer is x=5