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Simplifying 3n2 = 90n Solving 3n2 = 90n Solving for variable 'n'. Reorder the terms: -90n + 3n2 = 90n + -90n Combine like terms: 90n + -90n = 0 -90n + 3n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(-30 + 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 '(-30 + n)' equal to zero and attempt to solve: Simplifying -30 + n = 0 Solving -30 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + n = 0 + 30 Combine like terms: -30 + 30 = 0 0 + n = 0 + 30 n = 0 + 30 Combine like terms: 0 + 30 = 30 n = 30 Simplifying n = 30Solution
n = {0, 30}
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