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Simplifying n2 + -13n + 44 = 8 Reorder the terms: 44 + -13n + n2 = 8 Solving 44 + -13n + n2 = 8 Solving for variable 'n'. Reorder the terms: 44 + -8 + -13n + n2 = 8 + -8 Combine like terms: 44 + -8 = 36 36 + -13n + n2 = 8 + -8 Combine like terms: 8 + -8 = 0 36 + -13n + n2 = 0 Factor a trinomial. (4 + -1n)(9 + -1n) = 0Subproblem 1
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Subproblem 2
Set the factor '(9 + -1n)' equal to zero and attempt to solve: Simplifying 9 + -1n = 0 Solving 9 + -1n = 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 + -1n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 0 + -9 -1n = 0 + -9 Combine like terms: 0 + -9 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9Solution
n = {4, 9}
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