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D( x )
x-5 = 0
5*x-25 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
5*x-25 = 0
5*x-25 = 0
5*x-25 = 0 // + 25
5*x = 25 // : 5
x = 25/5
x = 5
x in (-oo:5) U (5:+oo)
x/(5*x-25)-9 = 1/(x-5) // - 1/(x-5)
x/(5*x-25)-(1/(x-5))-9 = 0
x/(5*x-25)-(x-5)^-1-9 = 0
x/(5*x-25)-1/(x-5)-9 = 0
(x*(x-5))/((5*x-25)*(x-5))+(-1*(5*x-25))/((5*x-25)*(x-5))+(-9*(5*x-25)*(x-5))/((5*x-25)*(x-5)) = 0
x*(x-5)-1*(5*x-25)-9*(5*x-25)*(x-5) = 0
x^2-45*x^2-10*x+450*x-1125+25 = 0
440*x-44*x^2-1100 = 0
440*x-44*x^2-1100 = 0
44*(10*x-x^2-25) = 0
10*x-x^2-25 = 0
DELTA = 10^2-(-25*(-1)*4)
DELTA = 0
x = -10/(-1*2)
x = 5 or x = 5
44*(x-5)^2 = 0
(44*(x-5)^2)/((5*x-25)*(x-5)) = 0
(44*(x-5)^2)/((5*x-25)*(x-5)) = 0 // * (5*x-25)*(x-5)
44*(x-5)^2 = 0
x-5 = 0 // + 5
x = 5
x in { 5}
x belongs to the empty set
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