5x^4-1=5x-1

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Solution for 5x^4-1=5x-1 equation:


Simplifying
5x4 + -1 = 5x + -1

Reorder the terms:
-1 + 5x4 = 5x + -1

Reorder the terms:
-1 + 5x4 = -1 + 5x

Add '1' to each side of the equation.
-1 + 1 + 5x4 = -1 + 1 + 5x

Combine like terms: -1 + 1 = 0
0 + 5x4 = -1 + 1 + 5x
5x4 = -1 + 1 + 5x

Combine like terms: -1 + 1 = 0
5x4 = 0 + 5x
5x4 = 5x

Solving
5x4 = 5x

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-1 + 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 '(-1 + x3)' equal to zero and attempt to solve: Simplifying -1 + x3 = 0 Solving -1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3 = 0 + 1 x3 = 0 + 1 Combine like terms: 0 + 1 = 1 x3 = 1 Simplifying x3 = 1 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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