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Simplifying -4n(6n + -5) + 3n = 0 Reorder the terms: -4n(-5 + 6n) + 3n = 0 (-5 * -4n + 6n * -4n) + 3n = 0 (20n + -24n2) + 3n = 0 Reorder the terms: 20n + 3n + -24n2 = 0 Combine like terms: 20n + 3n = 23n 23n + -24n2 = 0 Solving 23n + -24n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(23 + -24n) = 0Subproblem 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 '(23 + -24n)' equal to zero and attempt to solve: Simplifying 23 + -24n = 0 Solving 23 + -24n = 0 Move all terms containing n to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -24n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -24n = 0 + -23 -24n = 0 + -23 Combine like terms: 0 + -23 = -23 -24n = -23 Divide each side by '-24'. n = 0.9583333333 Simplifying n = 0.9583333333Solution
n = {0, 0.9583333333}
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