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D( x )
5*x-1 = 0
(5*x-1)^2 = 0
5*x-1 = 0
5*x-1 = 0
5*x-1 = 0 // + 1
5*x = 1 // : 5
x = 1/5
(5*x-1)^2 = 0
(5*x-1)^2 = 0
5*x-1 = 0 // + 1
5*x = 1 // : 5
x = 1/5
x in (-oo:1/5) U (1/5:+oo)
1/((5*x-1)^2)+1/(5*x-1)-12 = 0
1/((5*x-1)^2)+(1*(5*x-1))/((5*x-1)^2)+(-12*(5*x-1)^2)/((5*x-1)^2) = 0
1*(5*x-1)-12*(5*x-1)^2+1 = 0
5*x-300*x^2+120*x-12 = 0
125*x-300*x^2-12 = 0
125*x-300*x^2-12 = 0
125*x-300*x^2-12 = 0
DELTA = 125^2-(-300*(-12)*4)
DELTA = 1225
DELTA > 0
x = (1225^(1/2)-125)/(-300*2) or x = (-1225^(1/2)-125)/(-300*2)
x = 3/20 or x = 4/15
(x-3/20)*(x-4/15) = 0
((x-3/20)*(x-4/15))/((5*x-1)^2) = 0
((x-3/20)*(x-4/15))/((5*x-1)^2) = 0 // * (5*x-1)^2
(x-3/20)*(x-4/15) = 0
( x-3/20 )
x-3/20 = 0 // + 3/20
x = 3/20
( x-4/15 )
x-4/15 = 0 // + 4/15
x = 4/15
x in { 3/20, 4/15 }
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