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Simplifying n2 + 5n + -104 = 0 Reorder the terms: -104 + 5n + n2 = 0 Solving -104 + 5n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-13 + -1n)(8 + -1n) = 0Subproblem 1
Set the factor '(-13 + -1n)' equal to zero and attempt to solve: Simplifying -13 + -1n = 0 Solving -13 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1n = 0 + 13 -1n = 0 + 13 Combine like terms: 0 + 13 = 13 -1n = 13 Divide each side by '-1'. n = -13 Simplifying n = -13Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 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 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {-13, 8}
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