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Simplifying 13n2 + -185n + 208 = 0 Reorder the terms: 208 + -185n + 13n2 = 0 Solving 208 + -185n + 13n2 = 0 Solving for variable 'n'. Factor a trinomial. (16 + -13n)(13 + -1n) = 0Subproblem 1
Set the factor '(16 + -13n)' equal to zero and attempt to solve: Simplifying 16 + -13n = 0 Solving 16 + -13n = 0 Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -13n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -13n = 0 + -16 -13n = 0 + -16 Combine like terms: 0 + -16 = -16 -13n = -16 Divide each side by '-13'. n = 1.230769231 Simplifying n = 1.230769231Subproblem 2
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 = 13Solution
n = {1.230769231, 13}
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