SOLUTION: What is the larger root of 6/x^2-1 - 1/2=1/x+1 I know the answer is 2 but I need all the steps to get the answer

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Question 330906: What is the larger root of 6/x^2-1 - 1/2=1/x+1

I know the answer is 2 but I need all the steps to get the answer
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x=2 is not a solution.
6%2F%282%5E2-1%29-1%2F2=1%2F%282%2B1%29+
6%2F%284-1%29-1%2F2=1%2F3
6%2F3-1%2F2=1%2F3
2-1%2F2=1%2F3
3%2F2=1%2F3
False, so x=2 is not a solution.
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Use the common denominator x%5E2-1=%28x-1%29%28x%2B1%29
6%2F%28x%5E2-1%29-%281%28x%5E2-1%29%29%2F%282%28x%5E2-1%29%29=%28x-1%29%2F%28x%5E2-1%29
6%2F%28x%5E2-1%29-%281%28x%5E2-1%29%29%2F%282%28x%5E2-1%29%29=%28x-1%29%2F%28x%5E2-1%29
6-%281%2F2%29%28x%5E2-1%29%29%2F%282%28x%5E2-1%29%29=%28x-1%29%2F%28x%5E2-1%29
12-%28x%5E2-1%29=2%28x-1%29
12-x%5E2%2B1=2x-2
x%5E2%2B2x-15=0
%28x-3%29%28x%2B5%29=0
Two solutions:
x-3=0
highlight%28x=3%29
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x%2B5=0
highlight%28x=-5%29