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Simplifying 8n2 = -72n Solving 8n2 = -72n Solving for variable 'n'. Reorder the terms: 72n + 8n2 = -72n + 72n Combine like terms: -72n + 72n = 0 72n + 8n2 = 0 Factor out the Greatest Common Factor (GCF), '8n'. 8n(9 + 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 = 0Subproblem 2
Set the factor '(9 + n)' equal to zero and attempt to solve: Simplifying 9 + n = 0 Solving 9 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + n = 0 + -9 n = 0 + -9 Combine like terms: 0 + -9 = -9 n = -9 Simplifying n = -9Solution
n = {0, -9}
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