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Simplifying 3n2 + -19n + 26 = 0 Reorder the terms: 26 + -19n + 3n2 = 0 Solving 26 + -19n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + -1n)(13 + -3n) = 0Subproblem 1
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Subproblem 2
Set the factor '(13 + -3n)' equal to zero and attempt to solve: Simplifying 13 + -3n = 0 Solving 13 + -3n = 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 + -3n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3n = 0 + -13 -3n = 0 + -13 Combine like terms: 0 + -13 = -13 -3n = -13 Divide each side by '-3'. n = 4.333333333 Simplifying n = 4.333333333Solution
n = {2, 4.333333333}
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