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D( x )
x-2 = 0
x+2 = 0
x^2-4 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
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+2)-(2/(x-2)) = (3*x)/(x^2-4) // - (3*x)/(x^2-4)
4/(x+2)-(2/(x-2))-((3*x)/(x^2-4)) = 0
4/(x+2)-2*(x-2)^-1-3*x*(x^2-4)^-1 = 0
4/(x+2)-2/(x-2)+(-3*x)/(x^2-4) = 0
(4*(x-2)*(x^2-4))/((x+2)*(x-2)*(x^2-4))+(-2*(x+2)*(x^2-4))/((x+2)*(x-2)*(x^2-4))+(-3*x*(x+2)*(x-2))/((x+2)*(x-2)*(x^2-4)) = 0
4*(x-2)*(x^2-4)-2*(x+2)*(x^2-4)-3*x*(x+2)*(x-2) = 0
2*x^3-3*x^3-12*x^2-8*x+12*x+48 = 0
4*x-x^3-12*x^2+48 = 0
4*x-x^3-12*x^2+48 = 0
4*x-x^3-12*x^2+48
12*(4-x^2)-x^3+4*x
x*(4-x^2)+12*(4-x^2)
(x+12)*(4-x^2)
((x+12)*(4-x^2))/((x+2)*(x-2)*(x^2-4)) = 0
((x+12)*(4-x^2))/((x+2)*(x-2)*(x^2-4)) = 0 // * (x+2)*(x-2)*(x^2-4)
(x+12)*(4-x^2) = 0
( 4-x^2 )
-1*x^2 = -4 // : -1
x^2 = 4
x^2 = 4 // ^ 1/2
abs(x) = 2
x = 2 or x = -2
( x+12 )
x+12 = 0 // - 12
x = -12
x in { 2}
x in { -2}
x = -12
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