0=12x^3+12x

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Solution for 0=12x^3+12x equation: 


Simplifying
0 = 12x3 + 12x

Reorder the terms:
0 = 12x + 12x3

Solving
0 = 12x + 12x3

Solving for variable 'x'.
Remove the zero:
-12x + -12x3 = 12x + 12x3 + -12x + -12x3

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

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

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

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

Ignore the factor -12.

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 '(1 + x2)' equal to zero and attempt to solve:

Simplifying
1 + x2 = 0

Solving
1 + x2 = 0

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

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

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

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

Simplifying
x2 = -1

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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