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Simplifying -8n(4n + -3) = 0 Reorder the terms: -8n(-3 + 4n) = 0 (-3 * -8n + 4n * -8n) = 0 (24n + -32n2) = 0 Solving 24n + -32n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(3 + -4n) = 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 '(3 + -4n)' equal to zero and attempt to solve: Simplifying 3 + -4n = 0 Solving 3 + -4n = 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 + -4n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = 0 + -3 -4n = 0 + -3 Combine like terms: 0 + -3 = -3 -4n = -3 Divide each side by '-4'. n = 0.75 Simplifying n = 0.75Solution
n = {0, 0.75}
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