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Simplifying 2n2 + -18n = 0 Reorder the terms: -18n + 2n2 = 0 Solving -18n + 2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-9 + 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 '(-9 + n)' equal to zero and attempt to solve: Simplifying -9 + n = 0 Solving -9 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + n = 0 + 9 n = 0 + 9 Combine like terms: 0 + 9 = 9 n = 9 Simplifying n = 9Solution
n = {0, 9}
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