x=2x^4-4x^3

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


Simplifying
x = 2x4 + -4x3

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

Solving
x = -4x3 + 2x4

Solving for variable 'x'.

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

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

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

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

Simplifying
1 + 4x2 + -2x3 = 0

Solving
1 + 4x2 + -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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