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Simplifying 8n(10n + -6) = 0 Reorder the terms: 8n(-6 + 10n) = 0 (-6 * 8n + 10n * 8n) = 0 (-48n + 80n2) = 0 Solving -48n + 80n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '16n'. 16n(-3 + 5n) = 0 Ignore the factor 16.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 '(-3 + 5n)' equal to zero and attempt to solve: Simplifying -3 + 5n = 0 Solving -3 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = 0 + 3 5n = 0 + 3 Combine like terms: 0 + 3 = 3 5n = 3 Divide each side by '5'. n = 0.6 Simplifying n = 0.6Solution
n = {0, 0.6}
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