x^2-9/x^3-3x^2

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Solution for x^2-9/x^3-3x^2 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

x^2-(3*x^2)-(9/(x^3)) = 0

x^2-3*x^2-9*x^-3 = 0

-2*x^2-9*x^-3 = 0

-x^2*(9*x^-5+2) = 0

9*x^-5 = -2 // : 9

x^-5 = -2/9

-5 < 0

1/(x^5) = -2/9 // * x^5

1 = -2/9*x^5 // : -2/9

-9/2 = x^5

x^5 = -9/2 // ^ 1/5

x = -(9/2)^(1/5)

-x^2 = 0

-1*x^2 = 0 // : -1

x^2 = 0

x = 0

x in { 0} 

x = -(9/2)^(1/5)

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