SOLUTION: u+7/u-2 + 1 = u+5/u-3

Question 1040444: u+7/u-2 + 1 = u+5/u-3
Found 2 solutions by ikleyn, ankor@dixie-net.com:
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
1. No question ---> no answer.

2. Use parentheses next time.

Otherwise your formulas are unreadable.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Assume you mean
+ 1 =
Multiply equation by (u-2)(u-3), cancel the denominators and you have
(u-3)(u+7) + (u-2)(u-3) = (u-2)(u+5)
FOIL
u^2 + 7u - 3u - 21 + u^2 - 3u - 2u + 6 = u^2 + 5u -2u - 10
Combine like terms
u^2 + 4u - 21 + u^2 - 5u + 6 = u^2 + 3u - 10
Combine again on the left
u^2 + u^2 - u^2 + 4u - 5u - 3u - 21 + 6 + 10 = 0
u^2 - 4u - 5u = 0
Factors to
(u-5)(u+1) = 0
two solutions
u = 5
u = -1
:
You should check both solutions in the original equation
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