SOLUTION: (x+2)(x-2)/(2x^2+8x+8)+(-5)/(x+2)=-1/(2x+4)

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Question 354379: (x+2)(x-2)/(2x^2+8x+8)+(-5)/(x+2)=-1/(2x+4)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2%29%28x-2%29%2F%282x%5E2%2B8x%2B8%29%2B%28-5%29%2F%28x%2B2%29=-1%2F%282x%2B4%29,
.
Assuming that x is not equal to -2, the equation becomes
%28x-2%29%2F%282%28x%2B2%29%29-5%2F%28x%2B2%29+=+-1%2F%282%28x%2B2%29%29, or
%28x-2%29%2F%282%28x%2B2%29%29-10%2F%282%28x%2B2%29%29+=+-1%2F%282%28x%2B2%29%29.
Putting the equation in standard form , we get
%28x-2-10%2B1%29%2F%282%28x%2B2%29%29+=+0, or %28x-11%29%2F%282%28x%2B2%29%29+=+0.
Then we would get x+-+11=0, and so x+=+11. Since 11 is not equal to 2, the final answer for x is 11.