0=6x+6/x^2

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

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

-6*x-6*x^-2 = 0

-6*x^1-6*x^-2 = 0

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

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

x^2

-6*x^3-6 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6 }

1

x = 1

-6*x^3-6 = -12

1

-1

x = -1

-6*x^3-6 = 0

-1

x+1

6*x-6*x^2-6

-6*x^3-6

x+1

6*x^3+6*x^2

6*x^2-6

-6*x^2-6*x

-6*x-6

6*x+6

0

6*x-6*x^2-6 = 0

DELTA = 6^2-(-6*(-6)*4)

DELTA = -108

DELTA < 0

x in { -1} 

x = -1

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