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Simplifying 6n2 + -121 = -11n Reorder the terms: -121 + 6n2 = -11n Solving -121 + 6n2 = -11n Solving for variable 'n'. Reorder the terms: -121 + 11n + 6n2 = -11n + 11n Combine like terms: -11n + 11n = 0 -121 + 11n + 6n2 = 0 Factor a trinomial. (-11 + -2n)(11 + -3n) = 0Subproblem 1
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 = -5.5Subproblem 2
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 = 3.666666667Solution
n = {-5.5, 3.666666667}
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