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D( x )
x-3 = 0
x+3 = 0
x^2-9 = 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x^2-9 = 0
x^2-9 = 0
1*x^2 = 9 // : 1
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
x in (-oo:-3) U (-3:3) U (3:+oo)
x/(x^2-9)+2/(x+3) = 4/(x-3) // - 4/(x-3)
x/(x^2-9)+2/(x+3)-(4/(x-3)) = 0
x/(x^2-9)+2/(x+3)-4*(x-3)^-1 = 0
x/(x^2-9)+2/(x+3)-4/(x-3) = 0
(x*(x+3)*(x-3))/((x^2-9)*(x+3)*(x-3))+(2*(x^2-9)*(x-3))/((x^2-9)*(x+3)*(x-3))+(-4*(x^2-9)*(x+3))/((x^2-9)*(x+3)*(x-3)) = 0
x*(x+3)*(x-3)+2*(x^2-9)*(x-3)-4*(x^2-9)*(x+3) = 0
3*x^3-4*x^3-6*x^2-12*x^2-27*x+36*x+54+108 = 0
9*x-x^3-18*x^2+162 = 0
9*x-x^3-18*x^2+162 = 0
9*x-x^3-18*x^2+162
9*x-x^2*(x+18)+162
9*(x+18)-x^2*(x+18)
(9-x^2)*(x+18)
((9-x^2)*(x+18))/((x^2-9)*(x+3)*(x-3)) = 0
((9-x^2)*(x+18))/((x^2-9)*(x+3)*(x-3)) = 0 // * (x^2-9)*(x+3)*(x-3)
(9-x^2)*(x+18) = 0
( 9-x^2 )
-1*x^2 = -9 // : -1
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
( x+18 )
x+18 = 0 // - 18
x = -18
x in { 3}
x in { -3}
x = -18
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