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Simplifying 8n(3n + 8) = 0 Reorder the terms: 8n(8 + 3n) = 0 (8 * 8n + 3n * 8n) = 0 (64n + 24n2) = 0 Solving 64n + 24n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(8 + 3n) = 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 '(8 + 3n)' equal to zero and attempt to solve: Simplifying 8 + 3n = 0 Solving 8 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3n = 0 + -8 3n = 0 + -8 Combine like terms: 0 + -8 = -8 3n = -8 Divide each side by '3'. n = -2.666666667 Simplifying n = -2.666666667Solution
n = {0, -2.666666667}
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