SOLUTION: solve the equation 1/(x+3) - 1/(x+4) = 1/2

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Question 401332: solve the equation 1/(x+3) - 1/(x+4) = 1/2
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
+1%2F%28x%2B3%29+-+1%2F%28x%2B4%29+=+1%2F2
==> 2%28%28x%2B4%29-%28x%2B3%29%29=%28x%2B3%29%28x%2B4%29
==> 2+=+x%5E2+%2B+7x+%2B+12
==> 0+=+x%5E2+%2B+7x+%2B+10
<==> 0 = (x + 2)(x+ 5) ==> x = -2, -5.
Both values will never make the denominator 0, so they are the final answers.