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Simplifying 5n2 + 27n + 34 = 0 Reorder the terms: 34 + 27n + 5n2 = 0 Solving 34 + 27n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (17 + 5n)(2 + n) = 0Subproblem 1
Set the factor '(17 + 5n)' equal to zero and attempt to solve: Simplifying 17 + 5n = 0 Solving 17 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5n = 0 + -17 5n = 0 + -17 Combine like terms: 0 + -17 = -17 5n = -17 Divide each side by '5'. n = -3.4 Simplifying n = -3.4Subproblem 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 = {-3.4, -2}
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