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Simplifying 6n2 + -11n + -125 = -4 Reorder the terms: -125 + -11n + 6n2 = -4 Solving -125 + -11n + 6n2 = -4 Solving for variable 'n'. Reorder the terms: -125 + 4 + -11n + 6n2 = -4 + 4 Combine like terms: -125 + 4 = -121 -121 + -11n + 6n2 = -4 + 4 Combine like terms: -4 + 4 = 0 -121 + -11n + 6n2 = 0 Factor a trinomial. (-11 + -3n)(11 + -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 '(11 + -2n)' equal to zero and attempt to solve: Simplifying 11 + -2n = 0 Solving 11 + -2n = 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 + -2n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2n = 0 + -11 -2n = 0 + -11 Combine like terms: 0 + -11 = -11 -2n = -11 Divide each side by '-2'. n = 5.5 Simplifying n = 5.5Solution
n = {-3.666666667, 5.5}
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