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Simplifying -8n(6n + -8) = 0 Reorder the terms: -8n(-8 + 6n) = 0 (-8 * -8n + 6n * -8n) = 0 (64n + -48n2) = 0 Solving 64n + -48n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '16n'. 16n(4 + -3n) = 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 '(4 + -3n)' equal to zero and attempt to solve: Simplifying 4 + -3n = 0 Solving 4 + -3n = 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 + -3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = 0 + -4 -3n = 0 + -4 Combine like terms: 0 + -4 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333Solution
n = {0, 1.333333333}
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