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Simplifying 24n2 + 45n = 0 Reorder the terms: 45n + 24n2 = 0 Solving 45n + 24n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(15 + 8n) = 0 Ignore the factor 3.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 '(15 + 8n)' equal to zero and attempt to solve: Simplifying 15 + 8n = 0 Solving 15 + 8n = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8n = 0 + -15 8n = 0 + -15 Combine like terms: 0 + -15 = -15 8n = -15 Divide each side by '8'. n = -1.875 Simplifying n = -1.875Solution
n = {0, -1.875}
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