2x^4+4x=x^3+8x^2

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Solution for 2x^4+4x=x^3+8x^2 equation: 


Simplifying
2x4 + 4x = x3 + 8x2

Reorder the terms:
4x + 2x4 = x3 + 8x2

Reorder the terms:
4x + 2x4 = 8x2 + x3

Solving
4x + 2x4 = 8x2 + x3

Solving for variable 'x'.

Reorder the terms:
4x + -8x2 + -1x3 + 2x4 = 8x2 + x3 + -8x2 + -1x3

Reorder the terms:
4x + -8x2 + -1x3 + 2x4 = 8x2 + -8x2 + x3 + -1x3

Combine like terms: 8x2 + -8x2 = 0
4x + -8x2 + -1x3 + 2x4 = 0 + x3 + -1x3
4x + -8x2 + -1x3 + 2x4 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
4x + -8x2 + -1x3 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -8x + -1x2 + 2x3) = 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 + -8x + -1x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
4 + -8x + -1x2 + 2x3 = 0

Solving
4 + -8x + -1x2 + 2x3 = 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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