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Simplifying -2n2 = 16n Solving -2n2 = 16n Solving for variable 'n'. Reorder the terms: -16n + -2n2 = 16n + -16n Combine like terms: 16n + -16n = 0 -16n + -2n2 = 0 Factor out the Greatest Common Factor (GCF), '-2n'. -2n(8 + n) = 0 Ignore the factor -2.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 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 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 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Solution
n = {0, -8}
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