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

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


Simplifying
-1x4 + 2x3 + 4x2 = 8x

Reorder the terms:
4x2 + 2x3 + -1x4 = 8x

Solving
4x2 + 2x3 + -1x4 = 8x

Solving for variable 'x'.

Reorder the terms:
-8x + 4x2 + 2x3 + -1x4 = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + 4x2 + 2x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 4x + 2x2 + -1x3) = 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 '(-8 + 4x + 2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-8 + 4x + 2x2 + -1x3 = 0

Solving
-8 + 4x + 2x2 + -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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