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Simplifying 26n2 + 270n + 324 = 0 Reorder the terms: 324 + 270n + 26n2 = 0 Solving 324 + 270n + 26n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(162 + 135n + 13n2) = 0 Factor a trinomial. 2((9 + n)(18 + 13n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + n)' equal to zero and attempt to solve: Simplifying 9 + n = 0 Solving 9 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + n = 0 + -9 n = 0 + -9 Combine like terms: 0 + -9 = -9 n = -9 Simplifying n = -9Subproblem 2
Set the factor '(18 + 13n)' equal to zero and attempt to solve: Simplifying 18 + 13n = 0 Solving 18 + 13n = 0 Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 13n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 13n = 0 + -18 13n = 0 + -18 Combine like terms: 0 + -18 = -18 13n = -18 Divide each side by '13'. n = -1.384615385 Simplifying n = -1.384615385Solution
n = {-9, -1.384615385}
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