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D( x )
x+2 = 0
x^2+x-2 = 0
x-1 = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x^2+x-2 = 0
x^2+x-2 = 0
x^2+x-2 = 0
DELTA = 1^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)
x = 1 or x = -2
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:-2) U (-2:1) U (1:+oo)
12/(x^2+x-2)-((x+3)/(x-1)) = (1-x)/(x+2) // - (1-x)/(x+2)
12/(x^2+x-2)-((x+3)/(x-1))-((1-x)/(x+2)) = 0
12/(x^2+x-2)+(-1*(x+3))/(x-1)+(-1*(1-x))/(x+2) = 0
x^2+x-2 = 0
x^2+x-2 = 0
x^2+x-2 = 0
DELTA = 1^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)
x = 1 or x = -2
(x+2)*(x-1) = 0
12/((x+2)*(x-1))+(-1*(x+3))/(x-1)+(-1*(1-x))/(x+2) = 0
12/((x+2)*(x-1))+(-1*(x+3)*(x+2))/((x+2)*(x-1))+(-1*(1-x)*(x-1))/((x+2)*(x-1)) = 0
12-1*(x+3)*(x+2)-1*(1-x)*(x-1) = 0
x^2-x^2-5*x-2*x+1+6 = 0
7-7*x = 0
(7-7*x)/((x+2)*(x-1)) = 0
(7-7*x)/((x+2)*(x-1)) = 0 // * (x+2)*(x-1)
7-7*x = 0
7-7*x = 0 // - 7
-7*x = -7 // : -7
x = -7/(-7)
x = 1
x in { 1}
x belongs to the empty set
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