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

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


Simplifying
3x4 + x3 = 6x2 + 2x

Reorder the terms:
x3 + 3x4 = 6x2 + 2x

Reorder the terms:
x3 + 3x4 = 2x + 6x2

Solving
x3 + 3x4 = 2x + 6x2

Solving for variable 'x'.

Reorder the terms:
-2x + -6x2 + x3 + 3x4 = 2x + 6x2 + -2x + -6x2

Reorder the terms:
-2x + -6x2 + x3 + 3x4 = 2x + -2x + 6x2 + -6x2

Combine like terms: 2x + -2x = 0
-2x + -6x2 + x3 + 3x4 = 0 + 6x2 + -6x2
-2x + -6x2 + x3 + 3x4 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-2x + -6x2 + x3 + 3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + -6x + x2 + 3x3) = 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 '(-2 + -6x + x2 + 3x3)' equal to zero and attempt to solve:

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

Solving
-2 + -6x + x2 + 3x3 = 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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