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Simplifying 6n2 = 18n Solving 6n2 = 18n Solving for variable 'n'. Reorder the terms: -18n + 6n2 = 18n + -18n Combine like terms: 18n + -18n = 0 -18n + 6n2 = 0 Factor out the Greatest Common Factor (GCF), '6n'. 6n(-3 + n) = 0 Ignore the factor 6.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 '(-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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