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Simplifying 4n(8n + 1) = 0 Reorder the terms: 4n(1 + 8n) = 0 (1 * 4n + 8n * 4n) = 0 (4n + 32n2) = 0 Solving 4n + 32n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(1 + 8n) = 0 Ignore the factor 4.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 + 8n)' equal to zero and attempt to solve: Simplifying 1 + 8n = 0 Solving 1 + 8n = 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 + 8n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = 0 + -1 8n = 0 + -1 Combine like terms: 0 + -1 = -1 8n = -1 Divide each side by '8'. n = -0.125 Simplifying n = -0.125Solution
n = {0, -0.125}
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