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Simplifying -2n(4n + -5) + 8n = 0 Reorder the terms: -2n(-5 + 4n) + 8n = 0 (-5 * -2n + 4n * -2n) + 8n = 0 (10n + -8n2) + 8n = 0 Reorder the terms: 10n + 8n + -8n2 = 0 Combine like terms: 10n + 8n = 18n 18n + -8n2 = 0 Solving 18n + -8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(9 + -4n) = 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 '(9 + -4n)' equal to zero and attempt to solve: Simplifying 9 + -4n = 0 Solving 9 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = 0 + -9 -4n = 0 + -9 Combine like terms: 0 + -9 = -9 -4n = -9 Divide each side by '-4'. n = 2.25 Simplifying n = 2.25Solution
n = {0, 2.25}
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