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Simplifying 4n2 + 44n = -96 Reorder the terms: 44n + 4n2 = -96 Solving 44n + 4n2 = -96 Solving for variable 'n'. Reorder the terms: 96 + 44n + 4n2 = -96 + 96 Combine like terms: -96 + 96 = 0 96 + 44n + 4n2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(24 + 11n + n2) = 0 Factor a trinomial. 4((8 + n)(3 + n)) = 0 Ignore the factor 4.Subproblem 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 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 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 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Solution
n = {-8, -3}
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