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Simplifying 8n(4n + -9) = 0 Reorder the terms: 8n(-9 + 4n) = 0 (-9 * 8n + 4n * 8n) = 0 (-72n + 32n2) = 0 Solving -72n + 32n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(-9 + 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 '(-9 + 4n)' equal to zero and attempt to solve: Simplifying -9 + 4n = 0 Solving -9 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4n = 0 + 9 4n = 0 + 9 Combine like terms: 0 + 9 = 9 4n = 9 Divide each side by '4'. n = 2.25 Simplifying n = 2.25Solution
n = {0, 2.25}
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