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Simplifying 18n2 + 33n = 0 Reorder the terms: 33n + 18n2 = 0 Solving 33n + 18n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(11 + 6n) = 0 Ignore the factor 3.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 '(11 + 6n)' equal to zero and attempt to solve: Simplifying 11 + 6n = 0 Solving 11 + 6n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6n = 0 + -11 6n = 0 + -11 Combine like terms: 0 + -11 = -11 6n = -11 Divide each side by '6'. n = -1.833333333 Simplifying n = -1.833333333Solution
n = {0, -1.833333333}
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