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

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


Simplifying
2x4 + -2x3 + 2x2 = 2x

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

Solving
2x2 + -2x3 + 2x4 = 2x

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + x + -1x2 + x3) = 0

Ignore the factor 2.

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 + x + -1x2 + x3)' equal to zero and attempt to solve:

Simplifying
-1 + x + -1x2 + x3 = 0

Solving
-1 + x + -1x2 + 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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