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D( x )
x+12 = 0
x-12 = 0
x^2-144 = 0
x+12 = 0
x+12 = 0
x+12 = 0 // - 12
x = -12
x-12 = 0
x-12 = 0
x-12 = 0 // + 12
x = 12
x^2-144 = 0
x^2-144 = 0
1*x^2 = 144 // : 1
x^2 = 144
x^2 = 144 // ^ 1/2
abs(x) = 12
x = 12 or x = -12
x in (-oo:-12) U (-12:12) U (12:+oo)
3/(x+12)-(4/(x-12)) = (2*x)/(x^2-144) // - (2*x)/(x^2-144)
3/(x+12)-(4/(x-12))-((2*x)/(x^2-144)) = 0
3/(x+12)-4*(x-12)^-1-2*x*(x^2-144)^-1 = 0
3/(x+12)-4/(x-12)+(-2*x)/(x^2-144) = 0
(3*(x-12)*(x^2-144))/((x+12)*(x-12)*(x^2-144))+(-4*(x+12)*(x^2-144))/((x+12)*(x-12)*(x^2-144))+(-2*x*(x+12)*(x-12))/((x+12)*(x-12)*(x^2-144)) = 0
3*(x-12)*(x^2-144)-4*(x+12)*(x^2-144)-2*x*(x+12)*(x-12) = 0
144*x-x^3-2*x^3-84*x^2+288*x+12096 = 0
432*x-3*x^3-84*x^2+12096 = 0
432*x-3*x^3-84*x^2+12096 = 0
3*(144*x-x^3-28*x^2+4032) = 0
144*x-x^3-28*x^2+4032
28*(144-x^2)-x^3+144*x
x*(144-x^2)+28*(144-x^2)
(x+28)*(144-x^2)
3*(x+28)*(144-x^2) = 0
(3*(x+28)*(144-x^2))/((x+12)*(x-12)*(x^2-144)) = 0
(3*(x+28)*(144-x^2))/((x+12)*(x-12)*(x^2-144)) = 0 // * (x+12)*(x-12)*(x^2-144)
3*(x+28)*(144-x^2) = 0
( 144-x^2 )
-1*x^2 = -144 // : -1
x^2 = 144
x^2 = 144 // ^ 1/2
abs(x) = 12
x = 12 or x = -12
( x+28 )
x+28 = 0 // - 28
x = -28
x in { 12}
x in { -12}
x = -28
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