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

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


Simplifying
3x(2x2 + 6)(x + -1) = 0

Reorder the terms:
3x(6 + 2x2)(x + -1) = 0

Reorder the terms:
3x(6 + 2x2)(-1 + x) = 0

Multiply (6 + 2x2) * (-1 + x)
3x(6(-1 + x) + 2x2 * (-1 + x)) = 0
3x((-1 * 6 + x * 6) + 2x2 * (-1 + x)) = 0
3x((-6 + 6x) + 2x2 * (-1 + x)) = 0
3x(-6 + 6x + (-1 * 2x2 + x * 2x2)) = 0
3x(-6 + 6x + (-2x2 + 2x3)) = 0
3x(-6 + 6x + -2x2 + 2x3) = 0
(-6 * 3x + 6x * 3x + -2x2 * 3x + 2x3 * 3x) = 0
(-18x + 18x2 + -6x3 + 6x4) = 0

Solving
-18x + 18x2 + -6x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-3 + 3x + -1x2 + x3) = 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 '(-3 + 3x + -1x2 + x3)' equal to zero and attempt to solve:

Simplifying
-3 + 3x + -1x2 + x3 = 0

Solving
-3 + 3x + -1x2 + x3 = 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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