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Simplifying 3n2 + -2n = 833 Reorder the terms: -2n + 3n2 = 833 Solving -2n + 3n2 = 833 Solving for variable 'n'. Reorder the terms: -833 + -2n + 3n2 = 833 + -833 Combine like terms: 833 + -833 = 0 -833 + -2n + 3n2 = 0 Factor a trinomial. (-49 + -3n)(17 + -1n) = 0Subproblem 1
Set the factor '(-49 + -3n)' equal to zero and attempt to solve: Simplifying -49 + -3n = 0 Solving -49 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -3n = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -3n = 0 + 49 -3n = 0 + 49 Combine like terms: 0 + 49 = 49 -3n = 49 Divide each side by '-3'. n = -16.33333333 Simplifying n = -16.33333333Subproblem 2
Set the factor '(17 + -1n)' equal to zero and attempt to solve: Simplifying 17 + -1n = 0 Solving 17 + -1n = 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 + -1n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1n = 0 + -17 -1n = 0 + -17 Combine like terms: 0 + -17 = -17 -1n = -17 Divide each side by '-1'. n = 17 Simplifying n = 17Solution
n = {-16.33333333, 17}
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