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Simplifying 3n2 + -1n = 184 Reorder the terms: -1n + 3n2 = 184 Solving -1n + 3n2 = 184 Solving for variable 'n'. Reorder the terms: -184 + -1n + 3n2 = 184 + -184 Combine like terms: 184 + -184 = 0 -184 + -1n + 3n2 = 0 Factor a trinomial. (-23 + -3n)(8 + -1n) = 0Subproblem 1
Set the factor '(-23 + -3n)' equal to zero and attempt to solve: Simplifying -23 + -3n = 0 Solving -23 + -3n = 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 + -3n = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -3n = 0 + 23 -3n = 0 + 23 Combine like terms: 0 + 23 = 23 -3n = 23 Divide each side by '-3'. n = -7.666666667 Simplifying n = -7.666666667Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 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 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {-7.666666667, 8}
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