SOLUTION: Could someone please help me solve this expression i am lost. {{{9/(x-5)-1=8/(x+5)}}}

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Question 103875: Could someone please help me solve this expression i am lost.
9%2F%28x-5%29-1=8%2F%28x%2B5%29
Found 2 solutions by stanbon, edjones:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
9/(x-5)-1=8/(x+5)
Multiply thru by (x-5)(x+5)
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9(x+5) -(x^2-25) = 8(x-5)
x +85 =x^2-25
x^2 -x - 110=0
(x-11)(x+10) = 0
x = 11 or x = -10
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Cheers,
Stan H.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
9%2F%28x-5%29-1=8%2F%28x%2B5%29
9(x+5)-(x+5)(x-5)=8(x-5) multiply both sides times (x-5)(x+5) to eliminat fractions.
9(x+5)-(x+5)(x-5)-8(x-5)=0 subtract 8(x-5) from both sides
9x+45-(x^2-25)-8x+40=0 Expand
9x+45-x^2+25-8x+40=0
-x^2+x+110=0 Combine terms
x^2-x-110=0 multiply both sides times -1
(x-11)(x+10)=0 factor
x=11, x=-10
Ed