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Simplifying 3n2 + 20n = -20n Reorder the terms: 20n + 3n2 = -20n Solving 20n + 3n2 = -20n Solving for variable 'n'. Reorder the terms: 20n + 20n + 3n2 = -20n + 20n Combine like terms: 20n + 20n = 40n 40n + 3n2 = -20n + 20n Combine like terms: -20n + 20n = 0 40n + 3n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(40 + 3n) = 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 '(40 + 3n)' equal to zero and attempt to solve: Simplifying 40 + 3n = 0 Solving 40 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 3n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 3n = 0 + -40 3n = 0 + -40 Combine like terms: 0 + -40 = -40 3n = -40 Divide each side by '3'. n = -13.33333333 Simplifying n = -13.33333333Solution
n = {0, -13.33333333}
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