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Simplifying 0 = -15n2 + -24n Reorder the terms: 0 = -24n + -15n2 Solving 0 = -24n + -15n2 Solving for variable 'n'. Remove the zero: 24n + 15n2 = -24n + -15n2 + 24n + 15n2 Reorder the terms: 24n + 15n2 = -24n + 24n + -15n2 + 15n2 Combine like terms: -24n + 24n = 0 24n + 15n2 = 0 + -15n2 + 15n2 24n + 15n2 = -15n2 + 15n2 Combine like terms: -15n2 + 15n2 = 0 24n + 15n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(8 + 5n) = 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 '(8 + 5n)' equal to zero and attempt to solve: Simplifying 8 + 5n = 0 Solving 8 + 5n = 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 + 5n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5n = 0 + -8 5n = 0 + -8 Combine like terms: 0 + -8 = -8 5n = -8 Divide each side by '5'. n = -1.6 Simplifying n = -1.6Solution
n = {0, -1.6}
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