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Simplifying -4n(8n + 3) = 0 Reorder the terms: -4n(3 + 8n) = 0 (3 * -4n + 8n * -4n) = 0 (-12n + -32n2) = 0 Solving -12n + -32n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-4n'. -4n(3 + 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 '(3 + 8n)' equal to zero and attempt to solve: Simplifying 3 + 8n = 0 Solving 3 + 8n = 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 + 8n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8n = 0 + -3 8n = 0 + -3 Combine like terms: 0 + -3 = -3 8n = -3 Divide each side by '8'. n = -0.375 Simplifying n = -0.375Solution
n = {0, -0.375}
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