x^4=4x

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Solution for x^4=4x equation:


Simplifying
x4 = 4x

Solving
x4 = 4x

Solving for variable 'x'.

Reorder the terms:
-4x + x4 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4x + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + x3) = 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 + x3)' equal to zero and attempt to solve: Simplifying -4 + x3 = 0 Solving -4 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x3 = 0 + 4 x3 = 0 + 4 Combine like terms: 0 + 4 = 4 x3 = 4 Simplifying x3 = 4 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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