n*n+6n-8=-8

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Solution for n*n+6n-8=-8 equation:


Simplifying
n * n + 6n + -8 = -8

Multiply n * n
n2 + 6n + -8 = -8

Reorder the terms:
-8 + 6n + n2 = -8

Add '8' to each side of the equation.
-8 + 6n + 8 + n2 = -8 + 8

Reorder the terms:
-8 + 8 + 6n + n2 = -8 + 8

Combine like terms: -8 + 8 = 0
0 + 6n + n2 = -8 + 8
6n + n2 = -8 + 8

Combine like terms: -8 + 8 = 0
6n + n2 = 0

Solving
6n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(6 + 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 '(6 + n)' equal to zero and attempt to solve: Simplifying 6 + n = 0 Solving 6 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + n = 0 + -6 n = 0 + -6 Combine like terms: 0 + -6 = -6 n = -6 Simplifying n = -6

Solution

n = {0, -6}

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