12x^4-27x^3=6x

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Solution for 12x^4-27x^3=6x equation: 


Simplifying
12x4 + -27x3 = 6x

Reorder the terms:
-27x3 + 12x4 = 6x

Solving
-27x3 + 12x4 = 6x

Solving for variable 'x'.

Reorder the terms:
-6x + -27x3 + 12x4 = 6x + -6x

Combine like terms: 6x + -6x = 0
-6x + -27x3 + 12x4 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-2 + -9x2 + 4x3) = 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 + -9x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
-2 + -9x2 + 4x3 = 0

Solving
-2 + -9x2 + 4x3 = 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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