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Simplifying -3n(6n + -5) + 2n = 0 Reorder the terms: -3n(-5 + 6n) + 2n = 0 (-5 * -3n + 6n * -3n) + 2n = 0 (15n + -18n2) + 2n = 0 Reorder the terms: 15n + 2n + -18n2 = 0 Combine like terms: 15n + 2n = 17n 17n + -18n2 = 0 Solving 17n + -18n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(17 + -18n) = 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 '(17 + -18n)' equal to zero and attempt to solve: Simplifying 17 + -18n = 0 Solving 17 + -18n = 0 Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -18n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -18n = 0 + -17 -18n = 0 + -17 Combine like terms: 0 + -17 = -17 -18n = -17 Divide each side by '-18'. n = 0.9444444444 Simplifying n = 0.9444444444Solution
n = {0, 0.9444444444}
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