-n^2-5n=0

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Solution for -n^2-5n=0 equation:


Simplifying
-1n2 + -5n = 0

Reorder the terms:
-5n + -1n2 = 0

Solving
-5n + -1n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-1n'.
-1n(5 + n) = 0

Ignore the factor -1.

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

Solution

n = {0, -5}

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