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D( x )
x^2-36 = 0
x+6 = 0
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)
(4*x-5)/(x^2-36)-(3/(x+6)) = 0
(4*x-5)/(x^2-36)-3*(x+6)^-1 = 0
(4*x-5)/(x^2-36)-3/(x+6) = 0
((4*x-5)*(x+6))/((x^2-36)*(x+6))+(-3*(x^2-36))/((x^2-36)*(x+6)) = 0
(4*x-5)*(x+6)-3*(x^2-36) = 0
x^2+19*x+78 = 0
x^2+19*x+78 = 0
x^2+19*x+78 = 0
DELTA = 19^2-(1*4*78)
DELTA = 49
DELTA > 0
x = (49^(1/2)-19)/(1*2) or x = (-49^(1/2)-19)/(1*2)
x = -6 or x = -13
(x+13)*(x+6) = 0
((x+13)*(x+6))/((x^2-36)*(x+6)) = 0
((x+13)*(x+6))/((x^2-36)*(x+6)) = 0 // * (x^2-36)*(x+6)
(x+13)*(x+6) = 0
( x+13 )
x+13 = 0 // - 13
x = -13
( x+6 )
x+6 = 0 // - 6
x = -6
x in { -6}
x = -13
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