5x^4=2560x

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Solution for 5x^4=2560x equation:


Simplifying
5x4 = 2560x

Solving
5x4 = 2560x

Solving for variable 'x'.

Reorder the terms:
-2560x + 5x4 = 2560x + -2560x

Combine like terms: 2560x + -2560x = 0
-2560x + 5x4 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-512 + x3) = 0

Ignore the factor 5.

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 '(-512 + x3)' equal to zero and attempt to solve: Simplifying -512 + x3 = 0 Solving -512 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '512' to each side of the equation. -512 + 512 + x3 = 0 + 512 Combine like terms: -512 + 512 = 0 0 + x3 = 0 + 512 x3 = 0 + 512 Combine like terms: 0 + 512 = 512 x3 = 512 Simplifying x3 = 512 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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