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Simplifying -4n(6n + -4) + 2n = 0 Reorder the terms: -4n(-4 + 6n) + 2n = 0 (-4 * -4n + 6n * -4n) + 2n = 0 (16n + -24n2) + 2n = 0 Reorder the terms: 16n + 2n + -24n2 = 0 Combine like terms: 16n + 2n = 18n 18n + -24n2 = 0 Solving 18n + -24n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6n'. 6n(3 + -4n) = 0 Ignore the factor 6.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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