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D( x )
1-x = 0
x-1 = 0
1-x = 0
1-x = 0
1-x = 0 // - 1
-x = -1 // * -1
x = 1
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:+oo)
3/(x-1)-((4*x)/(1-x)) = 0
3/(x-1)-4*x*(1-x)^-1 = 0
3/(x-1)+(-4*x)/(1-x) = 0
(3*(1-x))/((x-1)*(1-x))+(-4*x*(x-1))/((x-1)*(1-x)) = 0
3*(1-x)-4*x*(x-1) = 0
x-4*x^2+3 = 0
x-4*x^2+3 = 0
x-4*x^2+3 = 0
DELTA = 1^2-(-4*3*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-1)/(-4*2) or x = (-49^(1/2)-1)/(-4*2)
x = -3/4 or x = 1
(x+3/4)*(x-1) = 0
((x+3/4)*(x-1))/((x-1)*(1-x)) = 0
((x+3/4)*(x-1))/((x-1)*(1-x)) = 0 // * (x-1)*(1-x)
(x+3/4)*(x-1) = 0
( x+3/4 )
x+3/4 = 0 // - 3/4
x = -3/4
( x-1 )
x-1 = 0 // + 1
x = 1
x in { 1}
x = -3/4
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