0=2x^4-2x^3+8x^2-8x

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Solution for 0=2x^4-2x^3+8x^2-8x equation: 


Simplifying
0 = 2x4 + -2x3 + 8x2 + -8x

Reorder the terms:
0 = -8x + 8x2 + -2x3 + 2x4

Solving
0 = -8x + 8x2 + -2x3 + 2x4

Solving for variable 'x'.
Remove the zero:
8x + -8x2 + 2x3 + -2x4 = -8x + 8x2 + -2x3 + 2x4 + 8x + -8x2 + 2x3 + -2x4

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

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

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

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

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

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

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

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