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Simplifying n2 + 3n + -18 = -18 Reorder the terms: -18 + 3n + n2 = -18 Add '18' to each side of the equation. -18 + 3n + 18 + n2 = -18 + 18 Reorder the terms: -18 + 18 + 3n + n2 = -18 + 18 Combine like terms: -18 + 18 = 0 0 + 3n + n2 = -18 + 18 3n + n2 = -18 + 18 Combine like terms: -18 + 18 = 0 3n + n2 = 0 Solving 3n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(3 + 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 '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 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 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Solution
n = {0, -3}
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