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

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

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

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

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

2*x^-3-2*x^1 = 0

(2*x^0-2*x^4)/(x^3) = 0 // * x^6

x^3*(2*x^0-2*x^4) = 0

x^3

2-2*x^4 = 0

{ 1, -1, 2, -2 }

1

x = 1

2-2*x^4 = 0

1

x-1

-2*x^3-2*x^2-2*x-2

2-2*x^4

x-1

2*x^4-2*x^3

2-2*x^3

2*x^3-2*x^2

2-2*x^2

2*x^2-2*x

2-2*x

2*x-2

0

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

{ 1, -1, 2, -2 }

1

x = 1

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

1

-1

x = -1

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

-1

x+1

-2*x^2-2

-2*x^3-2*x^2-2*x-2

x+1

2*x^3+2*x^2

-2*x-2

2*x+2

0

-2*x^2-2 = 0

DELTA = 0^2-(-2*(-2)*4)

DELTA = -16

DELTA < 0

x in { 1, -1} 

x in { 1, -1 }

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