SOLUTION: how do I solve q+4/q-1 + q/q+1 =2

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Question 279580: how do I solve
q+4/q-1 + q/q+1 =2
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your equation is:

%28q%2B4%29%2F%28q-1%29+%2B+%28q%29%2F%28q%2B1%29+=+2

multiply both sides of this equation by %28q-1%29%2A%28q%2B1%29 to get:

which becomes:

%28q%2B4%29%2A%28q%2B1%29+%2B+%28q%29%2A%28q-1%29+=+2%2A%28q-1%29%2A%28q%2B1%29

simplify by removing parentheses to get:

q%5E2+%2B+5q+%2B+4+%2B+q%5E2+-+q+=+2q%5E2+-+2

combine like terms to get:

2q%5E2+%2B+4q+%2B+4+=+2q%5E2+-+2

subtract 2q%5E2 from both sides of the equation and subtract 4 from both sides of the equation and combine like terms to get:

4q = -6

divide both sides of the equation by 4 to get:

q = -6/4 = -3/2

plug that value of q into your original equation to confirm that the equation is true.

I did that and confirmed the original equation is true.

your answer is that q = -3/2