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Simplifying 2n(n + -8) = 0 Reorder the terms: 2n(-8 + n) = 0 (-8 * 2n + n * 2n) = 0 (-16n + 2n2) = 0 Solving -16n + 2n2 = 0 Solving for variable 'n'. 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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