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Simplifying 4n2 + -11n + -119 = 0 Reorder the terms: -119 + -11n + 4n2 = 0 Solving -119 + -11n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (-17 + -4n)(7 + -1n) = 0Subproblem 1
Set the factor '(-17 + -4n)' equal to zero and attempt to solve: Simplifying -17 + -4n = 0 Solving -17 + -4n = 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 + -4n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -4n = 0 + 17 -4n = 0 + 17 Combine like terms: 0 + 17 = 17 -4n = 17 Divide each side by '-4'. n = -4.25 Simplifying n = -4.25Subproblem 2
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 = 7Solution
n = {-4.25, 7}
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