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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)
6/x-(9/(x-1)) = 1/4 // - 1/4
6/x-(9/(x-1))-(1/4) = 0
6/x-9*(x-1)^-1-1/4 = 0
6/x-9/(x-1)-1/4 = 0
(-9*4*x)/(4*x*(x-1))+(4*6*(x-1))/(4*x*(x-1))+(-1*x*(x-1))/(4*x*(x-1)) = 0
4*6*(x-1)-1*x*(x-1)-9*4*x = 0
x-x^2-12*x-24 = 0
-x^2-11*x-24 = 0
-x^2-11*x-24 = 0
-1*(x^2+11*x+24) = 0
x^2+11*x+24 = 0
DELTA = 11^2-(1*4*24)
DELTA = 25
DELTA > 0
x = (25^(1/2)-11)/(1*2) or x = (-25^(1/2)-11)/(1*2)
x = -3 or x = -8
-1*(x+8)*(x+3) = 0
(-1*(x+8)*(x+3))/(4*x*(x-1)) = 0
(-1*(x+8)*(x+3))/(4*x*(x-1)) = 0 // * 4*x*(x-1)
-1*(x+8)*(x+3) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x+8 )
x+8 = 0 // - 8
x = -8
x in { -3, -8 }
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