SOLUTION: 8/a^2+a-6 = 6/a^2-9

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Question 363803: 8/a^2+a-6 = 6/a^2-9
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
8%2F%28a%5E2%2Ba-6%29+=+6%2F%28a%5E2-9%29,
8%2F%28%28a%2B3%29%28a-2%29%29+=+6%2F%28%28a%2B3%29%28a-3%29%29. Under assumption that a is not equal to -3, then
8%2F%28a-2%29+=+6%2F%28a-3%29,
4%2F%28a-2%29+=+3%2F%28a-3%29,
4a-12+=+3a-6, after cross-multiplication.
a = 6.