G(x)=x^3-12x

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Solution for G(x)=x^3-12x equation: 


Simplifying
G(x) = x3 + -12x

Multiply G * x
xG = x3 + -12x

Reorder the terms:
xG = -12x + x3

Solving
xG = -12x + x3

Solving for variable 'x'.

Reorder the terms:
12x + xG + -1x3 = -12x + x3 + 12x + -1x3

Reorder the terms:
12x + xG + -1x3 = -12x + 12x + x3 + -1x3

Combine like terms: -12x + 12x = 0
12x + xG + -1x3 = 0 + x3 + -1x3
12x + xG + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
12x + xG + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + G + -1x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(12 + G + -1x2)' equal to zero and attempt to solve:

Simplifying
12 + G + -1x2 = 0

Solving
12 + G + -1x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + G + -12 + -1x2 = 0 + -12

Reorder the terms:
12 + -12 + G + -1x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + G + -1x2 = 0 + -12
G + -1x2 = 0 + -12

Combine like terms: 0 + -12 = -12
G + -1x2 = -12

Add '-1G' to each side of the equation.
G + -1G + -1x2 = -12 + -1G

Combine like terms: G + -1G = 0
0 + -1x2 = -12 + -1G
-1x2 = -12 + -1G

Divide each side by '-1'.
x2 = 12 + G

Simplifying
x2 = 12 + G

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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