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Simplifying n2 + 18n + 9n = 0 Reorder the terms: 18n + 9n + n2 = 0 Combine like terms: 18n + 9n = 27n 27n + n2 = 0 Solving 27n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(27 + n) = 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 '(27 + n)' equal to zero and attempt to solve: Simplifying 27 + n = 0 Solving 27 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + n = 0 + -27 n = 0 + -27 Combine like terms: 0 + -27 = -27 n = -27 Simplifying n = -27Solution
n = {0, -27}
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