x^(-1/3)=-3/2

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Solution for x^(-1/3)=-3/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-1/3) = -3/2 // + -3/2

x^(-1/3)-(-3/2) = 0

x^(-1/3)+3/2 = 0

1*x^(-1/3) = -3/2 // : 1

x^(-1/3) = -3/2

-1/3 < 0

1/(x^(1/3)) = -3/2 // * x^(1/3)

1 = -3/2*x^(1/3) // : -3/2

-2/3 = x^(1/3)

x^(1/3) = -2/3 // ^ 3

x = -8/27

x = -8/27

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