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

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


Simplifying
x = 4x4 + 2x3 + -4x3 + -8x

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

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

Solving
x = -8x + -2x3 + 4x4

Solving for variable 'x'.

Combine like terms: x + 8x = 9x
9x + 2x3 + -4x4 = -8x + -2x3 + 4x4 + 8x + 2x3 + -4x4

Reorder the terms:
9x + 2x3 + -4x4 = -8x + 8x + -2x3 + 2x3 + 4x4 + -4x4

Combine like terms: -8x + 8x = 0
9x + 2x3 + -4x4 = 0 + -2x3 + 2x3 + 4x4 + -4x4
9x + 2x3 + -4x4 = -2x3 + 2x3 + 4x4 + -4x4

Combine like terms: -2x3 + 2x3 = 0
9x + 2x3 + -4x4 = 0 + 4x4 + -4x4
9x + 2x3 + -4x4 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
9x + 2x3 + -4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 2x2 + -4x3) = 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 '(9 + 2x2 + -4x3)' equal to zero and attempt to solve:

Simplifying
9 + 2x2 + -4x3 = 0

Solving
9 + 2x2 + -4x3 = 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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