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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+6)/(x-5)+1 = 11/x-5 // - 11/x-5
(x+6)/(x-5)-(11/x)+1+5 = 0
(x+6)/(x-5)-11*x^-1+1+5 = 0
(x+6)/(x-5)-11/x+1+5 = 0
(x*(x+6))/(x*(x-5))+(-11*(x-5))/(x*(x-5))+(1*x*(x-5))/(x*(x-5))+(5*x*(x-5))/(x*(x-5)) = 0
x*(x+6)-11*(x-5)+1*x*(x-5)+5*x*(x-5) = 0
x^2+x^2+5*x^2-5*x-5*x-25*x+55 = 0
2*x^2+5*x^2-10*x-25*x+55 = 0
7*x^2-35*x+55 = 0
7*x^2-35*x+55 = 0
7*x^2-35*x+55 = 0
DELTA = (-35)^2-(4*7*55)
DELTA = -315
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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