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Simplifying 4n2 + 28n + 45 = 0 Reorder the terms: 45 + 28n + 4n2 = 0 Solving 45 + 28n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (9 + 2n)(5 + 2n) = 0Subproblem 1
Set the factor '(9 + 2n)' equal to zero and attempt to solve: Simplifying 9 + 2n = 0 Solving 9 + 2n = 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 + 2n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = 0 + -9 2n = 0 + -9 Combine like terms: 0 + -9 = -9 2n = -9 Divide each side by '2'. n = -4.5 Simplifying n = -4.5Subproblem 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 = {-4.5, -2.5}
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