4x^5-8x^4+8x^3=x

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Solution for 4x^5-8x^4+8x^3=x equation: 


Simplifying
4x5 + -8x4 + 8x3 = x

Reorder the terms:
8x3 + -8x4 + 4x5 = x

Solving
8x3 + -8x4 + 4x5 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 8x3 + -8x4 + 4x5 = x + -1x

Combine like terms: x + -1x = 0
-1x + 8x3 + -8x4 + 4x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 8x2 + -8x3 + 4x4) = 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 + 8x2 + -8x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
-1 + 8x2 + -8x3 + 4x4 = 0

Solving
-1 + 8x2 + -8x3 + 4x4 = 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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