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Simplifying 6n2 + -1n + -92 = 0 Reorder the terms: -92 + -1n + 6n2 = 0 Solving -92 + -1n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (-23 + -6n)(4 + -1n) = 0Subproblem 1
Set the factor '(-23 + -6n)' equal to zero and attempt to solve: Simplifying -23 + -6n = 0 Solving -23 + -6n = 0 Move all terms containing n to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -6n = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -6n = 0 + 23 -6n = 0 + 23 Combine like terms: 0 + 23 = 23 -6n = 23 Divide each side by '-6'. n = -3.833333333 Simplifying n = -3.833333333Subproblem 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 = {-3.833333333, 4}
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