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Simplifying 6n2 + -2n = 140 Reorder the terms: -2n + 6n2 = 140 Solving -2n + 6n2 = 140 Solving for variable 'n'. Reorder the terms: -140 + -2n + 6n2 = 140 + -140 Combine like terms: 140 + -140 = 0 -140 + -2n + 6n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-70 + -1n + 3n2) = 0 Factor a trinomial. 2((-14 + -3n)(5 + -1n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -3n)' equal to zero and attempt to solve: Simplifying -14 + -3n = 0 Solving -14 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = 0 + 14 -3n = 0 + 14 Combine like terms: 0 + 14 = 14 -3n = 14 Divide each side by '-3'. n = -4.666666667 Simplifying n = -4.666666667Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 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 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Solution
n = {-4.666666667, 5}
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