0=6x+1/x^2

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Solution for 0=6x+1/x^2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

0-(6*x)-(1/(x^2)) = 0

-6*x-x^-2 = 0

-6*x-x^-2 = 0

-x*(x^-3+6) = 0

1*x^-3 = -6 // : 1

x^-3 = -6

-3 < 0

1/(x^3) = -6 // * x^3

1 = -6*x^3 // : -6

-1/6 = x^3

x^3 = -1/6 // ^ 1/3

x = -(1/6)^(1/3)

-x = 0

-1*x = 0 // : -1

x = 0

x in { 0} 

x = -(1/6)^(1/3)

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