6x(2x^3-6x+1)=0

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Solution for 6x(2x^3-6x+1)=0 equation: 


Simplifying
6x(2x3 + -6x + 1) = 0

Reorder the terms:
6x(1 + -6x + 2x3) = 0
(1 * 6x + -6x * 6x + 2x3 * 6x) = 0
(6x + -36x2 + 12x4) = 0

Solving
6x + -36x2 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(1 + -6x + 2x3) = 0

Ignore the factor 6.

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 + -6x + 2x3)' equal to zero and attempt to solve:

Simplifying
1 + -6x + 2x3 = 0

Solving
1 + -6x + 2x3 = 0

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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