12x^4-4x^3=6x-18x^2

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Solution for 12x^4-4x^3=6x-18x^2 equation: 


Simplifying
12x4 + -4x3 = 6x + -18x2

Reorder the terms:
-4x3 + 12x4 = 6x + -18x2

Solving
-4x3 + 12x4 = 6x + -18x2

Solving for variable 'x'.

Reorder the terms:
-6x + 18x2 + -4x3 + 12x4 = 6x + -18x2 + -6x + 18x2

Reorder the terms:
-6x + 18x2 + -4x3 + 12x4 = 6x + -6x + -18x2 + 18x2

Combine like terms: 6x + -6x = 0
-6x + 18x2 + -4x3 + 12x4 = 0 + -18x2 + 18x2
-6x + 18x2 + -4x3 + 12x4 = -18x2 + 18x2

Combine like terms: -18x2 + 18x2 = 0
-6x + 18x2 + -4x3 + 12x4 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 9x + -2x2 + 6x3) = 0

Ignore the factor 2.

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 + 9x + -2x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-3 + 9x + -2x2 + 6x3 = 0

Solving
-3 + 9x + -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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