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Simplifying 16n2 + 48n = 0 Reorder the terms: 48n + 16n2 = 0 Solving 48n + 16n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '16n'. 16n(3 + n) = 0 Ignore the factor 16.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 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 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 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Solution
n = {0, -3}
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