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Simplifying (n2 + 12) = (-9n + -2) Reorder the terms: (12 + n2) = (-9n + -2) Remove parenthesis around (12 + n2) 12 + n2 = (-9n + -2) Reorder the terms: 12 + n2 = (-2 + -9n) Remove parenthesis around (-2 + -9n) 12 + n2 = -2 + -9n Solving 12 + n2 = -2 + -9n Solving for variable 'n'. Reorder the terms: 12 + 2 + 9n + n2 = -2 + -9n + 2 + 9n Combine like terms: 12 + 2 = 14 14 + 9n + n2 = -2 + -9n + 2 + 9n Reorder the terms: 14 + 9n + n2 = -2 + 2 + -9n + 9n Combine like terms: -2 + 2 = 0 14 + 9n + n2 = 0 + -9n + 9n 14 + 9n + n2 = -9n + 9n Combine like terms: -9n + 9n = 0 14 + 9n + n2 = 0 Factor a trinomial. (7 + n)(2 + n) = 0Subproblem 1
Set the factor '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 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 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Solution
n = {-7, -2}
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