r^4-r=0

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Solution for r^4-r=0 equation:


Simplifying
r4 + -1r = 0

Reorder the terms:
-1r + r4 = 0

Solving
-1r + r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-1 + r3) = 0

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

Set the factor '(-1 + r3)' equal to zero and attempt to solve: Simplifying -1 + r3 = 0 Solving -1 + r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + r3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + r3 = 0 + 1 r3 = 0 + 1 Combine like terms: 0 + 1 = 1 r3 = 1 Simplifying r3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

r = {0}

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