8n^2+8n-2=-2

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


Simplifying
8n2 + 8n + -2 = -2

Reorder the terms:
-2 + 8n + 8n2 = -2

Add '2' to each side of the equation.
-2 + 8n + 2 + 8n2 = -2 + 2

Reorder the terms:
-2 + 2 + 8n + 8n2 = -2 + 2

Combine like terms: -2 + 2 = 0
0 + 8n + 8n2 = -2 + 2
8n + 8n2 = -2 + 2

Combine like terms: -2 + 2 = 0
8n + 8n2 = 0

Solving
8n + 8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8n'.
8n(1 + n) = 0

Ignore the factor 8.

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 '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1

Solution

n = {0, -1}

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