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Simplifying 4n2 + 35n + 24 = 0 Reorder the terms: 24 + 35n + 4n2 = 0 Solving 24 + 35n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (8 + n)(3 + 4n) = 0Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Subproblem 2
Set the factor '(3 + 4n)' equal to zero and attempt to solve: Simplifying 3 + 4n = 0 Solving 3 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4n = 0 + -3 4n = 0 + -3 Combine like terms: 0 + -3 = -3 4n = -3 Divide each side by '4'. n = -0.75 Simplifying n = -0.75Solution
n = {-8, -0.75}
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