SOLUTION: (7x+1)/(x^(2)-9)-(10)/(x+3)=(5)/(x-3)

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Question 404882: (7x+1)/(x^(2)-9)-(10)/(x+3)=(5)/(x-3)
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
%287x%2B1%29%2F%28x%5E2-9%29-10%2F%28x%2B3%29=5%2F%28x-3%29
Use Formula a%5E2-b%5E2=%28a-b%29%2A%28a%2Bb%29
then x%5E2-9=%28x-3%29%28x%2B3%29
multiply both sides by %28x-3%29%28x%2B3%29
7x%2B1-10%2A%28x-3%29=5%2A%28x%2B3%29
7x%2B1-10x%2B30=5x%2B15
7x-10x-5x=15-1-30
-8x=-16
x=%28-16%29%2F%28-8%29
x=2