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Simplifying 3n2 = 108n Solving 3n2 = 108n Solving for variable 'n'. Reorder the terms: -108n + 3n2 = 108n + -108n Combine like terms: 108n + -108n = 0 -108n + 3n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(-36 + n) = 0 Ignore the factor 3.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 '(-36 + n)' equal to zero and attempt to solve: Simplifying -36 + n = 0 Solving -36 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + n = 0 + 36 Combine like terms: -36 + 36 = 0 0 + n = 0 + 36 n = 0 + 36 Combine like terms: 0 + 36 = 36 n = 36 Simplifying n = 36Solution
n = {0, 36}
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