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Simplifying 3n2 + 13n + -16 = 0 Reorder the terms: -16 + 13n + 3n2 = 0 Solving -16 + 13n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-16 + -3n)(1 + -1n) = 0Subproblem 1
Set the factor '(-16 + -3n)' equal to zero and attempt to solve: Simplifying -16 + -3n = 0 Solving -16 + -3n = 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 + -3n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3n = 0 + 16 -3n = 0 + 16 Combine like terms: 0 + 16 = 16 -3n = 16 Divide each side by '-3'. n = -5.333333333 Simplifying n = -5.333333333Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {-5.333333333, 1}
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