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

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


Simplifying
2X4 + -2X3 + 8X2 + -8X = X

Reorder the terms:
-8X + 8X2 + -2X3 + 2X4 = X

Solving
-8X + 8X2 + -2X3 + 2X4 = X

Solving for variable 'X'.

Reorder the terms:
-8X + -1X + 8X2 + -2X3 + 2X4 = X + -1X

Combine like terms: -8X + -1X = -9X
-9X + 8X2 + -2X3 + 2X4 = X + -1X

Combine like terms: X + -1X = 0
-9X + 8X2 + -2X3 + 2X4 = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(-9 + 8X + -2X2 + 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 '(-9 + 8X + -2X2 + 2X3)' equal to zero and attempt to solve:

Simplifying
-9 + 8X + -2X2 + 2X3 = 0

Solving
-9 + 8X + -2X2 + 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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