3x^4+3x^3=6x^2+6x

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Solution for 3x^4+3x^3=6x^2+6x equation: 


Simplifying
3x4 + 3x3 = 6x2 + 6x

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

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

Solving
3x3 + 3x4 = 6x + 6x2

Solving for variable 'x'.

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

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

Combine like terms: 6x + -6x = 0
-6x + -6x2 + 3x3 + 3x4 = 0 + 6x2 + -6x2
-6x + -6x2 + 3x3 + 3x4 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6x + -6x2 + 3x3 + 3x4 = 0

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

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

Solving
-2 + -2x + x2 + 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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