x^5=5x^4

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Solution for x^5=5x^4 equation:


Simplifying
x5 = 5x4

Solving
x5 = 5x4

Solving for variable 'x'.

Reorder the terms:
-5x4 + x5 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
-5x4 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x4'.
x4(-5 + x) = 0

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5

Solution

x = {5}

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