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D( x )
x-1 = 0
5*x-5 = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
5*x-5 = 0
5*x-5 = 0
5*x-5 = 0 // + 5
5*x = 5 // : 5
x = 5/5
x = 1
x in (-oo:1) U (1:+oo)
15/(5*x-5)+1/5 = 3/(x-1) // - 3/(x-1)
15/(5*x-5)-(3/(x-1))+1/5 = 0
15/(5*x-5)-3*(x-1)^-1+1/5 = 0
15/(5*x-5)-3/(x-1)+1/5 = 0
(5*15*(x-1))/(5*(5*x-5)*(x-1))+(-3*5*(5*x-5))/(5*(5*x-5)*(x-1))+(1*(5*x-5)*(x-1))/(5*(5*x-5)*(x-1)) = 0
5*15*(x-1)-3*5*(5*x-5)+1*(5*x-5)*(x-1) = 0
5*x^2-10*x+5 = 0
5*x^2-10*x+5 = 0
5*(x^2-2*x+1) = 0
x^2-2*x+1 = 0
DELTA = (-2)^2-(1*1*4)
DELTA = 0
x = 2/(1*2)
x = 1 or x = 1
5*(x-1)^2 = 0
(5*(x-1)^2)/(5*(5*x-5)*(x-1)) = 0
(5*(x-1)^2)/(5*(5*x-5)*(x-1)) = 0 // * 5*(5*x-5)*(x-1)
5*(x-1)^2 = 0
x-1 = 0 // + 1
x = 1
x in { 1}
x belongs to the empty set
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