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Simplifying -3n2 + 11n + -8 = 0 Reorder the terms: -8 + 11n + -3n2 = 0 Solving -8 + 11n + -3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-8 + 3n)(1 + -1n) = 0Subproblem 1
Set the factor '(-8 + 3n)' equal to zero and attempt to solve: Simplifying -8 + 3n = 0 Solving -8 + 3n = 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 + 3n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 0 + 8 3n = 0 + 8 Combine like terms: 0 + 8 = 8 3n = 8 Divide each side by '3'. n = 2.666666667 Simplifying n = 2.666666667Subproblem 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 = {2.666666667, 1}
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