SOLUTION: 6/x+1 - 7/x-2 = - 3 /1-x

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Question 845482: 6/x+1 - 7/x-2 = - 3 /1-x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
6%2F%28x%2B1%29+-+7%2F%28x-2%29+=+-+3+%2F%281-x%29
6%2F%28x%2B1%29+-+7%2F%28x-2%29+=+3+%2F%28x-1%29
Multiply both sides by %28x%2B1%29%28x-2%29%28x-1%29
6%28x-2%29%28x-1%29-7%28x%2B1%29%28x-1%29=3%28x%2B1%29%28x-2%29
%28x-1%29%286x-12-7x-7%29=3%28x%2B1%29%28x-2%29
%28x-1%29%28-x-19%29=3%28x%5E2-x-2%29
-%28x-1%29%28x%2B19%29=3%28x%5E2-x-2%29
-%28x%5E2%2B18x-19%29=3x%5E2-3x-6
-x%5E2-18x%2B19=3x%5E2-3x-6
4x%5E2%2B15x-25=0
%28x%2B5%29%284x-5%29=0
Two solutions:
x%2B5=0
x=-5
and
4x-5=0
4x=5
x=5%2F4