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Simplifying 3n2 + 4n + -119 = 0 Reorder the terms: -119 + 4n + 3n2 = 0 Solving -119 + 4n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-7 + -1n)(17 + -3n) = 0Subproblem 1
Set the factor '(-7 + -1n)' equal to zero and attempt to solve: Simplifying -7 + -1n = 0 Solving -7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 0 + 7 -1n = 0 + 7 Combine like terms: 0 + 7 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7Subproblem 2
Set the factor '(17 + -3n)' equal to zero and attempt to solve: Simplifying 17 + -3n = 0 Solving 17 + -3n = 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 + -3n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3n = 0 + -17 -3n = 0 + -17 Combine like terms: 0 + -17 = -17 -3n = -17 Divide each side by '-3'. n = 5.666666667 Simplifying n = 5.666666667Solution
n = {-7, 5.666666667}
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