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Simplifying 4n2 + 37n + 9 = 0 Reorder the terms: 9 + 37n + 4n2 = 0 Solving 9 + 37n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (9 + n)(1 + 4n) = 0Subproblem 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 '(1 + 4n)' equal to zero and attempt to solve: Simplifying 1 + 4n = 0 Solving 1 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 0 + -1 4n = 0 + -1 Combine like terms: 0 + -1 = -1 4n = -1 Divide each side by '4'. n = -0.25 Simplifying n = -0.25Solution
n = {-9, -0.25}
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