SOLUTION: solve for u: (3/u-2)=-4-(5/u-3)

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Question 316314: solve for u:
(3/u-2)=-4-(5/u-3)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%28u-2%29=-4-5%2F%28u-3%29
Use a common denominator, %28u-2%29%28u-3%29


3u-9=-4u%5E2%2B20u-24-5u%2B10
-4u%5E2%2B12u-5=0
4u%5E2-12u%2B5=0
%282u-1%29%282u-5%29=0
Two solutions:
2u-1=0
2u=1
highlight%28+u=1%2F2%29
.
.
.
2u-5=0
2u=5
highlight%28u=5%2F2%29
.
.
.
Verify that the solutions work by plugging them back into the original equation.