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Simplifying 18n2 + 148n + 32 = 0 Reorder the terms: 32 + 148n + 18n2 = 0 Solving 32 + 148n + 18n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 74n + 9n2) = 0 Factor a trinomial. 2((8 + n)(2 + 9n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Subproblem 2
Set the factor '(2 + 9n)' equal to zero and attempt to solve: Simplifying 2 + 9n = 0 Solving 2 + 9n = 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 + 9n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = 0 + -2 9n = 0 + -2 Combine like terms: 0 + -2 = -2 9n = -2 Divide each side by '9'. n = -0.2222222222 Simplifying n = -0.2222222222Solution
n = {-8, -0.2222222222}
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