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Simplifying 4n2 = -121 + -44n Solving 4n2 = -121 + -44n Solving for variable 'n'. Reorder the terms: 121 + 44n + 4n2 = -121 + -44n + 121 + 44n Reorder the terms: 121 + 44n + 4n2 = -121 + 121 + -44n + 44n Combine like terms: -121 + 121 = 0 121 + 44n + 4n2 = 0 + -44n + 44n 121 + 44n + 4n2 = -44n + 44n Combine like terms: -44n + 44n = 0 121 + 44n + 4n2 = 0 Factor a trinomial. (11 + 2n)(11 + 2n) = 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 + 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 = {-5.5, -5.5}
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