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Simplifying n2 + 12n + 11 = 0 Reorder the terms: 11 + 12n + n2 = 0 Solving 11 + 12n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (11 + n)(1 + n) = 0Subproblem 1
Set the factor '(11 + n)' equal to zero and attempt to solve: Simplifying 11 + n = 0 Solving 11 + n = 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 + n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + n = 0 + -11 n = 0 + -11 Combine like terms: 0 + -11 = -11 n = -11 Simplifying n = -11Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {-11, -1}
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