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D( x )
x = 0
x-1 = 0
x = 0
x = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:0) U (0:1) U (1:+oo)
15/x-(20/(x-1))+2 = 0
15/x-20*(x-1)^-1+2 = 0
15/x-20/(x-1)+2 = 0
(-20*x)/(x*(x-1))+(15*(x-1))/(x*(x-1))+(2*x*(x-1))/(x*(x-1)) = 0
15*(x-1)+2*x*(x-1)-20*x = 0
2*x^2-5*x-2*x-15 = 0
2*x^2-7*x-15 = 0
2*x^2-7*x-15 = 0
2*x^2-7*x-15 = 0
DELTA = (-7)^2-(-15*2*4)
DELTA = 169
DELTA > 0
x = (169^(1/2)+7)/(2*2) or x = (7-169^(1/2))/(2*2)
x = 5 or x = -3/2
(x+3/2)*(x-5) = 0
((x+3/2)*(x-5))/(x*(x-1)) = 0
((x+3/2)*(x-5))/(x*(x-1)) = 0 // * x*(x-1)
(x+3/2)*(x-5) = 0
( x+3/2 )
x+3/2 = 0 // - 3/2
x = -3/2
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -3/2, 5 }
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