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

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Solution for 0=3x(-x^3+2) equation: 


Simplifying
0 = 3x(-1x3 + 2)

Reorder the terms:
0 = 3x(2 + -1x3)
0 = (2 * 3x + -1x3 * 3x)
0 = (6x + -3x4)

Solving
0 = 6x + -3x4

Solving for variable 'x'.
Remove the zero:
-6x + 3x4 = 6x + -3x4 + -6x + 3x4

Reorder the terms:
-6x + 3x4 = 6x + -6x + -3x4 + 3x4

Combine like terms: 6x + -6x = 0
-6x + 3x4 = 0 + -3x4 + 3x4
-6x + 3x4 = -3x4 + 3x4

Combine like terms: -3x4 + 3x4 = 0
-6x + 3x4 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-2 + x3) = 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 '(-2 + x3)' equal to zero and attempt to solve:

Simplifying
-2 + x3 = 0

Solving
-2 + x3 = 0

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

Add '2' to each side of the equation.
-2 + 2 + x3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x3 = 0 + 2
x3 = 0 + 2

Combine like terms: 0 + 2 = 2
x3 = 2

Simplifying
x3 = 2

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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