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Simplifying n2 = -4 + -4n Solving n2 = -4 + -4n Solving for variable 'n'. Reorder the terms: 4 + 4n + n2 = -4 + -4n + 4 + 4n Reorder the terms: 4 + 4n + n2 = -4 + 4 + -4n + 4n Combine like terms: -4 + 4 = 0 4 + 4n + n2 = 0 + -4n + 4n 4 + 4n + n2 = -4n + 4n Combine like terms: -4n + 4n = 0 4 + 4n + n2 = 0 Factor a trinomial. (2 + n)(2 + n) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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