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D( x )
3-x = 0
x+3 = 0
3-x = 0
3-x = 0
3-x = 0 // - 3
-x = -3 // * -1
x = 3
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:3) U (3:+oo)
2/(x+3)+5/(3-x) = (6/(x+3))*(x-3) // - (6/(x+3))*(x-3)
2/(x+3)+5/(3-x)-((6/(x+3))*(x-3)) = 0
2/(x+3)+5/(3-x)-6*(x-3)*(x+3)^-1 = 0
2/(x+3)+5/(3-x)+(-6*(x-3))/(x+3) = 0
(2*(3-x))/((x+3)*(3-x))+(5*(x+3))/((x+3)*(3-x))+(-6*(x-3)*(3-x))/((x+3)*(3-x)) = 0
2*(3-x)+5*(x+3)-6*(x-3)*(3-x) = 0
6*x^2+3*x-36*x+21+54 = 0
6*x^2-33*x+75 = 0
6*x^2-33*x+75 = 0
3*(2*x^2-11*x+25) = 0
2*x^2-11*x+25 = 0
DELTA = (-11)^2-(2*4*25)
DELTA = -79
DELTA < 0
3 = 0
3/((x+3)*(3-x)) = 0
3/((x+3)*(3-x)) = 0 // * (x+3)*(3-x)
3 = 0
x belongs to the empty set
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