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Simplifying 3n2 = -12 + -12n Solving 3n2 = -12 + -12n Solving for variable 'n'. Reorder the terms: 12 + 12n + 3n2 = -12 + -12n + 12 + 12n Reorder the terms: 12 + 12n + 3n2 = -12 + 12 + -12n + 12n Combine like terms: -12 + 12 = 0 12 + 12n + 3n2 = 0 + -12n + 12n 12 + 12n + 3n2 = -12n + 12n Combine like terms: -12n + 12n = 0 12 + 12n + 3n2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 4n + n2) = 0 Factor a trinomial. 3((2 + n)(2 + n)) = 0 Ignore the factor 3.Subproblem 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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