SOLUTION: (x/(5X+25))-2 = 1/(X-5)

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Question 345248: (x/(5X+25))-2 = 1/(X-5)
Answer by checkley77(12844) About Me  (Show Source):
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(x/(5X+25))-2 = 1/(X-5)
X/5(X+5)-2=1/(X-5)
X/5(X+5)-1/(X-5)=2
(X[X-5]-1*5[X+5])/5(X+5)(X-5)=2
(X^2-5X-5X-25)/5(X^2-25)=2
(X^2-10X-25)/5X^2-125)=2
X^2-10X-25=2(5X^2-125)
X^2-10X-25=10X^2-250
X^2-10X^2-10X-25+250=0
-9X^2-10X+225=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(10+-sqrt[-10^2-4*-9*225])/2*-9
x=(10+-sqrt[100+8100])/-18
x=(-10+-sqrt8200)/-18
x=(10+-90.554)/-18
x=(10-90.554)/-18
x=-80.554/-18
x=4.4752 ans.
x=(10+90.554)/-18
x=100.554/-18
x=-5.586 ans.