-3x^3-6x=3x

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Solution for -3x^3-6x=3x equation: 


Simplifying
-3x3 + -6x = 3x

Reorder the terms:
-6x + -3x3 = 3x

Solving
-6x + -3x3 = 3x

Solving for variable 'x'.

Reorder the terms:
-6x + -3x + -3x3 = 3x + -3x

Combine like terms: -6x + -3x = -9x
-9x + -3x3 = 3x + -3x

Combine like terms: 3x + -3x = 0
-9x + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(3 + x2) = 0

Ignore the factor -3.

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

Simplifying
3 + x2 = 0

Solving
3 + x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x2 = 0 + -3
x2 = 0 + -3

Combine like terms: 0 + -3 = -3
x2 = -3

Simplifying
x2 = -3

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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