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Simplifying 20n2 + -2n + -120 = 0 Reorder the terms: -120 + -2n + 20n2 = 0 Solving -120 + -2n + 20n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + -1n + 10n2) = 0 Factor a trinomial. 2((-12 + -5n)(5 + -2n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -5n)' equal to zero and attempt to solve: Simplifying -12 + -5n = 0 Solving -12 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5n = 0 + 12 -5n = 0 + 12 Combine like terms: 0 + 12 = 12 -5n = 12 Divide each side by '-5'. n = -2.4 Simplifying n = -2.4Subproblem 2
Set the factor '(5 + -2n)' equal to zero and attempt to solve: Simplifying 5 + -2n = 0 Solving 5 + -2n = 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 + -2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 0 + -5 -2n = 0 + -5 Combine like terms: 0 + -5 = -5 -2n = -5 Divide each side by '-2'. n = 2.5 Simplifying n = 2.5Solution
n = {-2.4, 2.5}
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