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Simplifying 8n(5n + 4) = 0 Reorder the terms: 8n(4 + 5n) = 0 (4 * 8n + 5n * 8n) = 0 (32n + 40n2) = 0 Solving 32n + 40n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(4 + 5n) = 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 '(4 + 5n)' equal to zero and attempt to solve: Simplifying 4 + 5n = 0 Solving 4 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 0 + -4 5n = 0 + -4 Combine like terms: 0 + -4 = -4 5n = -4 Divide each side by '5'. n = -0.8 Simplifying n = -0.8Solution
n = {0, -0.8}
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