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Simplifying 3n2 + -11n + -130 = 0 Reorder the terms: -130 + -11n + 3n2 = 0 Solving -130 + -11n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-5 + -1n)(26 + -3n) = 0Subproblem 1
Set the factor '(-5 + -1n)' equal to zero and attempt to solve: Simplifying -5 + -1n = 0 Solving -5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 0 + 5 -1n = 0 + 5 Combine like terms: 0 + 5 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5Subproblem 2
Set the factor '(26 + -3n)' equal to zero and attempt to solve: Simplifying 26 + -3n = 0 Solving 26 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -3n = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -3n = 0 + -26 -3n = 0 + -26 Combine like terms: 0 + -26 = -26 -3n = -26 Divide each side by '-3'. n = 8.666666667 Simplifying n = 8.666666667Solution
n = {-5, 8.666666667}
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