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Simplifying 6n2 + -7n + -68 = 0 Reorder the terms: -68 + -7n + 6n2 = 0 Solving -68 + -7n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (-17 + -6n)(4 + -1n) = 0Subproblem 1
Set the factor '(-17 + -6n)' equal to zero and attempt to solve: Simplifying -17 + -6n = 0 Solving -17 + -6n = 0 Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -6n = 0 + 17 -6n = 0 + 17 Combine like terms: 0 + 17 = 17 -6n = 17 Divide each side by '-6'. n = -2.833333333 Simplifying n = -2.833333333Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {-2.833333333, 4}
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