((1/(x^2))-(1/36))/(x+6)

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Solution for ((1/(x^2))-(1/36))/(x+6) equation: 


D( x )

x+6 = 0

x^2 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:-6) U (-6:0) U (0:+oo)

(1/(x^2)-(1/36))/(x+6) = 0

(1/(x^2)-1/36)/(x+6) = 0

(x^-2-1/36)/(x+6) = 0

1*x^-2 = 1/36 // : 1

x^-2 = 1/36

-2 < 0

1/(x^2) = 1/36 // * x^2

1 = 1/36*x^2 // : 1/36

36 = x^2

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x in { -6} 

x = 6

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