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Simplifying -9n(8n + -3) = 0 Reorder the terms: -9n(-3 + 8n) = 0 (-3 * -9n + 8n * -9n) = 0 (27n + -72n2) = 0 Solving 27n + -72n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '9n'. 9n(3 + -8n) = 0 Ignore the factor 9.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 '(3 + -8n)' equal to zero and attempt to solve: Simplifying 3 + -8n = 0 Solving 3 + -8n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8n = 0 + -3 -8n = 0 + -3 Combine like terms: 0 + -3 = -3 -8n = -3 Divide each side by '-8'. n = 0.375 Simplifying n = 0.375Solution
n = {0, 0.375}
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