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Simplifying 8n(2 + -9n) = 0 (2 * 8n + -9n * 8n) = 0 (16n + -72n2) = 0 Solving 16n + -72n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(2 + -9n) = 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 '(2 + -9n)' equal to zero and attempt to solve: Simplifying 2 + -9n = 0 Solving 2 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9n = 0 + -2 -9n = 0 + -2 Combine like terms: 0 + -2 = -2 -9n = -2 Divide each side by '-9'. n = 0.2222222222 Simplifying n = 0.2222222222Solution
n = {0, 0.2222222222}
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