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D( x )
x+2 = 0
x^2-4 = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x^2-4 = 0
x^2-4 = 0
1*x^2 = 4 // : 1
x^2 = 4
x^2 = 4 // ^ 1/2
abs(x) = 2
x = 2 or x = -2
x in (-oo:-2) U (-2:2) U (2:+oo)
(4*x)/(x^2-4) = 8/(x^2-4)-(4/(x+2)) // - 8/(x^2-4)-(4/(x+2))
(4*x)/(x^2-4)-(8/(x^2-4))+4/(x+2) = 0
(4*x)/(x^2-4)-8*(x^2-4)^-1+4/(x+2) = 0
(4*x)/(x^2-4)-8/(x^2-4)+4/(x+2) = 0
(4*x*(x+2))/((x^2-4)*(x+2))+(-8*(x+2))/((x^2-4)*(x+2))+(4*(x^2-4))/((x^2-4)*(x+2)) = 0
4*x*(x+2)-8*(x+2)+4*(x^2-4) = 0
4*x^2+4*x^2-16-16 = 0
8*x^2-32 = 0
(8*x^2-32)/((x^2-4)*(x+2)) = 0
(8*x^2-32)/((x^2-4)*(x+2)) = 0 // * (x^2-4)*(x+2)
8*x^2-32 = 0
8*x^2 = 32 // : 8
x^2 = 4
x^2 = 4 // ^ 1/2
abs(x) = 2
x = 2 or x = -2
x in { 2}
x in { -2}
x belongs to the empty set
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