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D( x )
x-3 = 0
3*x-2 = 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
3*x-2 = 0
3*x-2 = 0
3*x-2 = 0 // + 2
3*x = 2 // : 3
x = 2/3
x in (-oo:2/3) U (2/3:3) U (3:+oo)
(5*x+5)/(3*x-2)-((x-2)/(x-3)) = (2*x+6)/(x-3) // - (2*x+6)/(x-3)
(5*x+5)/(3*x-2)-((x-2)/(x-3))-((2*x+6)/(x-3)) = 0
(5*x+5)/(3*x-2)+(-1*(x-2))/(x-3)+(-1*(2*x+6))/(x-3) = 0
((5*x+5)*(x-3))/((3*x-2)*(x-3))+(-1*(x-2)*(3*x-2))/((3*x-2)*(x-3))+(-1*(2*x+6)*(3*x-2))/((3*x-2)*(x-3)) = 0
(5*x+5)*(x-3)-1*(x-2)*(3*x-2)-1*(2*x+6)*(3*x-2) = 0
2*x^2-6*x^2-2*x-14*x-19+12 = 0
-4*x^2-16*x-7 = 0
-4*x^2-16*x-7 = 0
-1*(4*x^2+16*x+7) = 0
4*x^2+16*x+7 = 0
DELTA = 16^2-(4*4*7)
DELTA = 144
DELTA > 0
x = (144^(1/2)-16)/(2*4) or x = (-144^(1/2)-16)/(2*4)
x = -1/2 or x = -7/2
-1*(x+7/2)*(x+1/2) = 0
(-1*(x+7/2)*(x+1/2))/((3*x-2)*(x-3)) = 0
(-1*(x+7/2)*(x+1/2))/((3*x-2)*(x-3)) = 0 // * (3*x-2)*(x-3)
-1*(x+7/2)*(x+1/2) = 0
( x+1/2 )
x+1/2 = 0 // - 1/2
x = -1/2
( x+7/2 )
x+7/2 = 0 // - 7/2
x = -7/2
x in { -1/2, -7/2 }
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