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Simplifying 0 = -24n2 + -15n Reorder the terms: 0 = -15n + -24n2 Solving 0 = -15n + -24n2 Solving for variable 'n'. Remove the zero: 15n + 24n2 = -15n + -24n2 + 15n + 24n2 Reorder the terms: 15n + 24n2 = -15n + 15n + -24n2 + 24n2 Combine like terms: -15n + 15n = 0 15n + 24n2 = 0 + -24n2 + 24n2 15n + 24n2 = -24n2 + 24n2 Combine like terms: -24n2 + 24n2 = 0 15n + 24n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(5 + 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 '(5 + 8n)' equal to zero and attempt to solve: Simplifying 5 + 8n = 0 Solving 5 + 8n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8n = 0 + -5 8n = 0 + -5 Combine like terms: 0 + -5 = -5 8n = -5 Divide each side by '8'. n = -0.625 Simplifying n = -0.625Solution
n = {0, -0.625}
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