SOLUTION: How do I Solve: {{{4/(x-2)=1+6/(x+2)}}}

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Question 30996: How do I Solve:
4%2F%28x-2%29=1%2B6%2F%28x%2B2%29
Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%28x-2%29=1%2B6%2F%28x%2B2%29 replace the 1 with %28x%2B2%29%2F%28x%2B2%29
4%2F%28x-2%29=%28x%2B2%29%2F%28x%2B2%29%2B6%2F%28x%2B2%29 combine the comon fractions
4%2F%28x-2%29=%28x%2B2%2B6%29%2F%28x%2B2%29 multiply both sides by (x-2) to cancel out the x-2 on the left, also 2+6=8
4=%28%28x%2B8%29%28x-2%29%29%2F%28x%2B2%29 now multiply both sides by x+2 to cancel out the x+2 on the right
4%2A%28x%2B2%29=%28x%2B8%29%28x-2%29 distribute the left side
4x%2B8=x%5E2%2B6x-16 subtract both the 4x and the 8 from both sides
0=x%5E2%2B2x-32
Now using the quadratic formula: x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
where Ax%5E2%2BBx%2BC=0
we would get
x=4.745 and x=-6.745