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Simplifying -8n(-2 + -1n) + n2 = 0 (-2 * -8n + -1n * -8n) + n2 = 0 (16n + 8n2) + n2 = 0 Combine like terms: 8n2 + n2 = 9n2 16n + 9n2 = 0 Solving 16n + 9n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(16 + 9n) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(16 + 9n)' equal to zero and attempt to solve: Simplifying 16 + 9n = 0 Solving 16 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9n = 0 + -16 9n = 0 + -16 Combine like terms: 0 + -16 = -16 9n = -16 Divide each side by '9'. n = -1.777777778 Simplifying n = -1.777777778Solution
n = {0, -1.777777778}
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