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D( x )
x-6 = 0
x+6 = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x in (-oo:-6) U (-6:6) U (6:+oo)
-5/(x-6)-(7/(x+6)) = -3 // + 3
3-5/(x-6)-(7/(x+6)) = 0
3-5/(x-6)-7*(x+6)^-1 = 0
3-5/(x-6)-7/(x+6) = 0
(-5*(x+6))/((x-6)*(x+6))+(-7*(x-6))/((x-6)*(x+6))+(3*(x-6)*(x+6))/((x-6)*(x+6)) = 0
3*(x-6)*(x+6)-5*(x+6)-7*(x-6) = 0
3*x^2-12*x-108+12 = 0
3*x^2-12*x-96 = 0
3*x^2-12*x-96 = 0
3*(x^2-4*x-32) = 0
x^2-4*x-32 = 0
DELTA = (-4)^2-(-32*1*4)
DELTA = 144
DELTA > 0
x = (144^(1/2)+4)/(1*2) or x = (4-144^(1/2))/(1*2)
x = 8 or x = -4
3*(x+4)*(x-8) = 0
(3*(x+4)*(x-8))/((x-6)*(x+6)) = 0
(3*(x+4)*(x-8))/((x-6)*(x+6)) = 0 // * (x-6)*(x+6)
3*(x+4)*(x-8) = 0
( x+4 )
x+4 = 0 // - 4
x = -4
( x-8 )
x-8 = 0 // + 8
x = 8
x in { -4, 8 }
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