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D( x )
x-1 = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:+oo)
5*x-((6/(x-1))*(x-3)) = 4*x-((4/(x-1))*(x-3)) // - 4*x-((4/(x-1))*(x-3))
(4/(x-1))*(x-3)-((6/(x-1))*(x-3))+5*x-(4*x) = 0
(4/(x-1))*(x-3)-6*(x-1)^-1*(x-3)+5*x-4*x = 0
(-6*(x-3))/(x-1)+(4*(x-3))/(x-1)+5*x-4*x = 0
(-6*(x-3))/(x-1)+(4*(x-3))/(x-1)+(5*x*(x-1))/(x-1)+(-4*x*(x-1))/(x-1) = 0
4*(x-3)-6*(x-3)+5*x*(x-1)-4*x*(x-1) = 0
5*x^2-4*x^2-2*x-5*x+4*x+6 = 0
5*x^2-4*x^2-7*x+4*x+6 = 0
x^2-3*x+6 = 0
x^2-3*x+6 = 0
x^2-3*x+6 = 0
DELTA = (-3)^2-(1*4*6)
DELTA = -15
DELTA < 0
1 = 0
1/(x-1) = 0
1/(x-1) = 0 // * x-1
1 = 0
x belongs to the empty set
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