5n^5+41n=0

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Solution for 5n^5+41n=0 equation:


Simplifying
5n5 + 41n = 0

Reorder the terms:
41n + 5n5 = 0

Solving
41n + 5n5 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(41 + 5n4) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(41 + 5n4)' equal to zero and attempt to solve: Simplifying 41 + 5n4 = 0 Solving 41 + 5n4 = 0 Move all terms containing n to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 5n4 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 5n4 = 0 + -41 5n4 = 0 + -41 Combine like terms: 0 + -41 = -41 5n4 = -41 Divide each side by '5'. n4 = -8.2 Simplifying n4 = -8.2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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