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Simplifying 2n2 + 12n + 15 = -3 Reorder the terms: 15 + 12n + 2n2 = -3 Solving 15 + 12n + 2n2 = -3 Solving for variable 'n'. Reorder the terms: 15 + 3 + 12n + 2n2 = -3 + 3 Combine like terms: 15 + 3 = 18 18 + 12n + 2n2 = -3 + 3 Combine like terms: -3 + 3 = 0 18 + 12n + 2n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 6n + n2) = 0 Factor a trinomial. 2((3 + n)(3 + n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Subproblem 2
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Solution
n = {-3, -3}
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