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Simplifying -80n2 + 8n = 0 Reorder the terms: 8n + -80n2 = 0 Solving 8n + -80n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(1 + -10n) = 0 Ignore the factor 8.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 '(1 + -10n)' equal to zero and attempt to solve: Simplifying 1 + -10n = 0 Solving 1 + -10n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10n = 0 + -1 -10n = 0 + -1 Combine like terms: 0 + -1 = -1 -10n = -1 Divide each side by '-10'. n = 0.1 Simplifying n = 0.1Solution
n = {0, 0.1}
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