3x^2-8/x^3=0

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Solution for 3x^2-8/x^3=0 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)

3*x^2-(8/(x^3)) = 0

3*x^2-8*x^-3 = 0

3*x^2-8*x^-3 = 0

x^2*(3-8*x^-5) = 0

-8*x^-5 = -3 // : -8

x^-5 = 3/8

-5 < 0

1/(x^5) = 3/8 // * x^5

1 = 3/8*x^5 // : 3/8

8/3 = x^5

x^5 = 8/3 // ^ 1/5

x = (8/3)^(1/5)

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

x = (8/3)^(1/5)

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