(6x^3-2x^2+x-4)(-3x)=0

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Solution for (6x^3-2x^2+x-4)(-3x)=0 equation: 


Simplifying
(6x3 + -2x2 + x + -4)(-3x) = 0

Reorder the terms:
(-4 + x + -2x2 + 6x3)(-3x) = 0

Remove parenthesis around (-3x)
(-4 + x + -2x2 + 6x3) * -3x = 0

Reorder the terms for easier multiplication:
-3x(-4 + x + -2x2 + 6x3) = 0
(-4 * -3x + x * -3x + -2x2 * -3x + 6x3 * -3x) = 0
(12x + -3x2 + 6x3 + -18x4) = 0

Solving
12x + -3x2 + 6x3 + -18x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4 + -1x + 2x2 + -6x3) = 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 '(4 + -1x + 2x2 + -6x3)' equal to zero and attempt to solve:

Simplifying
4 + -1x + 2x2 + -6x3 = 0

Solving
4 + -1x + 2x2 + -6x3 = 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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