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Simplifying 3n2 + -2n + -133 = 0 Reorder the terms: -133 + -2n + 3n2 = 0 Solving -133 + -2n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-19 + -3n)(7 + -1n) = 0Subproblem 1
Set the factor '(-19 + -3n)' equal to zero and attempt to solve: Simplifying -19 + -3n = 0 Solving -19 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -3n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -3n = 0 + 19 -3n = 0 + 19 Combine like terms: 0 + 19 = 19 -3n = 19 Divide each side by '-3'. n = -6.333333333 Simplifying n = -6.333333333Subproblem 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 = {-6.333333333, 7}
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