SOLUTION: Help would be great!! x-4/x-5 - 3/x+5 = 10/(x-5)(x+5)

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Question 105707: Help would be great!! x-4/x-5 - 3/x+5 = 10/(x-5)(x+5)

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-4%29%2F%28x-5%29+-+3%2F%28x%2B5%29+=+10%2F%28%28x-5%29%28x%2B5%29%29
If you multiply both sides by %28x-5%29%28x%2B5%29

%28x%2B5%29%28x-4%29+-+3%28x-5%29=10
%28x%28x-4%29%2B5%28x-4%29%29-%283x-15%29=10
%28%28x%5E2-4x%29%2B%285x-20%29%29-%283x-15%29=10
x%5E2%2B%28-4x%2B5x%29-20-3x%2B15=10
x%5E2%2Bx-20-3x%2B15=10
x%5E2%2B%28x-3x%29%2B%2815-20%29=10
x%5E2-2x-5=10
x%5E2-2x-5-10=10-10
x%5E2-2x-15=0
%28x%2B3%29%28x-5%29=0
x%2B3=0 or x-5=0
x=-3 or x=5

Power up,
HyperBrain!