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Simplifying 18n2 + 60n = -50 Reorder the terms: 60n + 18n2 = -50 Solving 60n + 18n2 = -50 Solving for variable 'n'. Reorder the terms: 50 + 60n + 18n2 = -50 + 50 Combine like terms: -50 + 50 = 0 50 + 60n + 18n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 30n + 9n2) = 0 Factor a trinomial. 2((5 + 3n)(5 + 3n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 3n)' equal to zero and attempt to solve: Simplifying 5 + 3n = 0 Solving 5 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 0 + -5 3n = 0 + -5 Combine like terms: 0 + -5 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667Subproblem 2
Set the factor '(5 + 3n)' equal to zero and attempt to solve: Simplifying 5 + 3n = 0 Solving 5 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 0 + -5 3n = 0 + -5 Combine like terms: 0 + -5 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667Solution
n = {-1.666666667, -1.666666667}
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