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Simplifying 6n2 = -26n + -28 Reorder the terms: 6n2 = -28 + -26n Solving 6n2 = -28 + -26n Solving for variable 'n'. Reorder the terms: 28 + 26n + 6n2 = -28 + -26n + 28 + 26n Reorder the terms: 28 + 26n + 6n2 = -28 + 28 + -26n + 26n Combine like terms: -28 + 28 = 0 28 + 26n + 6n2 = 0 + -26n + 26n 28 + 26n + 6n2 = -26n + 26n Combine like terms: -26n + 26n = 0 28 + 26n + 6n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(14 + 13n + 3n2) = 0 Factor a trinomial. 2((7 + 3n)(2 + n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + 3n)' equal to zero and attempt to solve: Simplifying 7 + 3n = 0 Solving 7 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3n = 0 + -7 3n = 0 + -7 Combine like terms: 0 + -7 = -7 3n = -7 Divide each side by '3'. n = -2.333333333 Simplifying n = -2.333333333Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Solution
n = {-2.333333333, -2}
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