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D( x )
x-5 = 0
x = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x = 0
x = 0
x in (-oo:0) U (0:5) U (5:+oo)
x/(x-5)-5 = 5/x-5 // - 5/x-5
x/(x-5)-(5/x)-5+5 = 0
x/(x-5)-5*x^-1-5+5 = 0
x/(x-5)-5/x-5+5 = 0
(x^2)/(x*(x-5))+(-5*(x-5))/(x*(x-5))+(-5*x*(x-5))/(x*(x-5))+(5*x*(x-5))/(x*(x-5)) = 0
5*x*(x-5)-5*(x-5)-5*x*(x-5)+x^2 = 0
x^2-5*x^2+5*x^2-5*x+25*x-25*x+25 = 0
5*x^2-4*x^2+20*x-25*x+25 = 0
x^2-5*x+25 = 0
x^2-5*x+25 = 0
x^2-5*x+25 = 0
DELTA = (-5)^2-(1*4*25)
DELTA = -75
DELTA < 0
1 = 0
1/(x*(x-5)) = 0
1/(x*(x-5)) = 0 // * x*(x-5)
1 = 0
x belongs to the empty set
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