2x^5+2x^4-8x^2-4x=x^4

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Solution for 2x^5+2x^4-8x^2-4x=x^4 equation:


Simplifying
2x5 + 2x4 + -8x2 + -4x = x4

Reorder the terms:
-4x + -8x2 + 2x4 + 2x5 = x4

Solving
-4x + -8x2 + 2x4 + 2x5 = x4

Solving for variable 'x'.

Reorder the terms:
-4x + -8x2 + 2x4 + -1x4 + 2x5 = x4 + -1x4

Combine like terms: 2x4 + -1x4 = 1x4
-4x + -8x2 + 1x4 + 2x5 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-4x + -8x2 + 1x4 + 2x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -8x + x3 + 2x4) = 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 '(-4 + -8x + x3 + 2x4)' equal to zero and attempt to solve: Simplifying -4 + -8x + x3 + 2x4 = 0 Solving -4 + -8x + x3 + 2x4 = 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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