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

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


Simplifying
x4 + 2x = 3x3 + 6x

Reorder the terms:
2x + x4 = 3x3 + 6x

Reorder the terms:
2x + x4 = 6x + 3x3

Solving
2x + x4 = 6x + 3x3

Solving for variable 'x'.

Reorder the terms:
2x + -6x + -3x3 + x4 = 6x + 3x3 + -6x + -3x3

Combine like terms: 2x + -6x = -4x
-4x + -3x3 + x4 = 6x + 3x3 + -6x + -3x3

Reorder the terms:
-4x + -3x3 + x4 = 6x + -6x + 3x3 + -3x3

Combine like terms: 6x + -6x = 0
-4x + -3x3 + x4 = 0 + 3x3 + -3x3
-4x + -3x3 + x4 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-4x + -3x3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -3x2 + x3) = 0


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 + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-4 + -3x2 + x3 = 0

Solving
-4 + -3x2 + 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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