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

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


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

Reorder the terms:
6x3(-2 + x) + -3x(x + -2) = 0
(-2 * 6x3 + x * 6x3) + -3x(x + -2) = 0
(-12x3 + 6x4) + -3x(x + -2) = 0

Reorder the terms:
-12x3 + 6x4 + -3x(-2 + x) = 0
-12x3 + 6x4 + (-2 * -3x + x * -3x) = 0
-12x3 + 6x4 + (6x + -3x2) = 0

Reorder the terms:
6x + -3x2 + -12x3 + 6x4 = 0

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

Solving for variable 'x'.

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

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

Solving
2 + -1x + -4x2 + 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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