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Simplifying (2n)(n + 18) = 0 Remove parenthesis around (2n) 2n(n + 18) = 0 Reorder the terms: 2n(18 + n) = 0 (18 * 2n + n * 2n) = 0 (36n + 2n2) = 0 Solving 36n + 2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(18 + n) = 0 Ignore the factor 2.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 '(18 + n)' equal to zero and attempt to solve: Simplifying 18 + n = 0 Solving 18 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + n = 0 + -18 n = 0 + -18 Combine like terms: 0 + -18 = -18 n = -18 Simplifying n = -18Solution
n = {0, -18}
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