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Simplifying 2n2 + -32n = 0 Reorder the terms: -32n + 2n2 = 0 Solving -32n + 2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-16 + 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 '(-16 + n)' equal to zero and attempt to solve: Simplifying -16 + n = 0 Solving -16 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + n = 0 + 16 n = 0 + 16 Combine like terms: 0 + 16 = 16 n = 16 Simplifying n = 16Solution
n = {0, 16}
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