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D( x )
x-6 = 0
x^2-36 = 0
x+6 = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x^2-36 = 0
x^2-36 = 0
1*x^2 = 36 // : 1
x^2 = 36
x^2 = 36 // ^ 1/2
abs(x) = 6
x = 6 or x = -6
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x in (-oo:-6) U (-6:6) U (6:+oo)
2/(x^2-36)-(1/(x-6)) = 1/(x+6) // - 1/(x+6)
2/(x^2-36)-(1/(x-6))-(1/(x+6)) = 0
2/(x^2-36)-(x-6)^-1-(x+6)^-1 = 0
2/(x^2-36)-1/(x-6)-1/(x+6) = 0
(2*(x-6)*(x+6))/((x^2-36)*(x-6)*(x+6))+(-1*(x^2-36)*(x+6))/((x^2-36)*(x-6)*(x+6))+(-1*(x^2-36)*(x-6))/((x^2-36)*(x-6)*(x+6)) = 0
2*(x-6)*(x+6)-1*(x^2-36)*(x+6)-1*(x^2-36)*(x-6) = 0
6*x^2-x^3-x^3-4*x^2+36*x+36*x-216+144 = 0
2*x^2-2*x^3+72*x-72 = 0
2*x^2-2*x^3+72*x-72 = 0
2*(x^2-x^3+36*x-36) = 0
x^2-x^3+36*x-36 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 }
1
x = 1
x^2-x^3+36*x-36 = 0
1
x-1
36-x^2
x^2-x^3+36*x-36
x-1
x^3-x^2
36*x-36
36-36*x
0
36-x^2 = 0
DELTA = 0^2-(-1*4*36)
DELTA = 144
DELTA > 0
x = (144^(1/2)+0)/(-1*2) or x = (0-144^(1/2))/(-1*2)
x = -6 or x = 6
x in { -6, 6, 1}
2*(x+6)*(x-6)*(x-1) = 0
(2*(x+6)*(x-6)*(x-1))/((x^2-36)*(x-6)*(x+6)) = 0
(2*(x+6)*(x-6)*(x-1))/((x^2-36)*(x-6)*(x+6)) = 0 // * (x^2-36)*(x-6)*(x+6)
2*(x+6)*(x-6)*(x-1) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-1 )
x-1 = 0 // + 1
x = 1
( x-6 )
x-6 = 0 // + 6
x = 6
x in { -6}
x in { 6}
x = 1
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