n^2+8n-5=-5

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Solution for n^2+8n-5=-5 equation:


Simplifying
n2 + 8n + -5 = -5

Reorder the terms:
-5 + 8n + n2 = -5

Add '5' to each side of the equation.
-5 + 8n + 5 + n2 = -5 + 5

Reorder the terms:
-5 + 5 + 8n + n2 = -5 + 5

Combine like terms: -5 + 5 = 0
0 + 8n + n2 = -5 + 5
8n + n2 = -5 + 5

Combine like terms: -5 + 5 = 0
8n + n2 = 0

Solving
8n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(8 + n) = 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 '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8

Solution

n = {0, -8}

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