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Simplifying 6n2 + 43n + 77 = 0 Reorder the terms: 77 + 43n + 6n2 = 0 Solving 77 + 43n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (11 + 3n)(7 + 2n) = 0Subproblem 1
Set the factor '(11 + 3n)' equal to zero and attempt to solve: Simplifying 11 + 3n = 0 Solving 11 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3n = 0 + -11 3n = 0 + -11 Combine like terms: 0 + -11 = -11 3n = -11 Divide each side by '3'. n = -3.666666667 Simplifying n = -3.666666667Subproblem 2
Set the factor '(7 + 2n)' equal to zero and attempt to solve: Simplifying 7 + 2n = 0 Solving 7 + 2n = 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 + 2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 0 + -7 2n = 0 + -7 Combine like terms: 0 + -7 = -7 2n = -7 Divide each side by '2'. n = -3.5 Simplifying n = -3.5Solution
n = {-3.666666667, -3.5}
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