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D( x )
x-2 = 0
2*x+6 = 0
x+3 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
2*x+6 = 0
2*x+6 = 0
2*x+6 = 0 // - 6
2*x = -6 // : 2
x = -6/2
x = -3
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:2) U (2:+oo)
3/(x+3) = 5/(2*x+6)+1/(x-2) // - 5/(2*x+6)+1/(x-2)
3/(x+3)-(5/(2*x+6))-(1/(x-2)) = 0
3/(x+3)-5*(2*x+6)^-1-(x-2)^-1 = 0
3/(x+3)-5/(2*x+6)-1/(x-2) = 0
(3*(2*x+6)*(x-2))/((x+3)*(2*x+6)*(x-2))+(-5*(x+3)*(x-2))/((x+3)*(2*x+6)*(x-2))+(-1*(x+3)*(2*x+6))/((x+3)*(2*x+6)*(x-2)) = 0
3*(2*x+6)*(x-2)-5*(x+3)*(x-2)-1*(x+3)*(2*x+6) = 0
x^2-2*x^2+x-12*x-18-6 = 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))/((x+3)*(2*x+6)*(x-2)) = 0
(-1*(x+8)*(x+3))/((x+3)*(2*x+6)*(x-2)) = 0 // * (x+3)*(2*x+6)*(x-2)
-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}
x = -8
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