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Simplifying (n + 2)(n + 1)(n + 6) + -9n2 = 0 Reorder the terms: (2 + n)(n + 1)(n + 6) + -9n2 = 0 Reorder the terms: (2 + n)(1 + n)(n + 6) + -9n2 = 0 Reorder the terms: (2 + n)(1 + n)(6 + n) + -9n2 = 0 Multiply (2 + n) * (1 + n) (2(1 + n) + n(1 + n))(6 + n) + -9n2 = 0 ((1 * 2 + n * 2) + n(1 + n))(6 + n) + -9n2 = 0 ((2 + 2n) + n(1 + n))(6 + n) + -9n2 = 0 (2 + 2n + (1 * n + n * n))(6 + n) + -9n2 = 0 (2 + 2n + (1n + n2))(6 + n) + -9n2 = 0 Combine like terms: 2n + 1n = 3n (2 + 3n + n2)(6 + n) + -9n2 = 0 Multiply (2 + 3n + n2) * (6 + n) (2(6 + n) + 3n * (6 + n) + n2(6 + n)) + -9n2 = 0 ((6 * 2 + n * 2) + 3n * (6 + n) + n2(6 + n)) + -9n2 = 0 ((12 + 2n) + 3n * (6 + n) + n2(6 + n)) + -9n2 = 0 (12 + 2n + (6 * 3n + n * 3n) + n2(6 + n)) + -9n2 = 0 (12 + 2n + (18n + 3n2) + n2(6 + n)) + -9n2 = 0 (12 + 2n + 18n + 3n2 + (6 * n2 + n * n2)) + -9n2 = 0 (12 + 2n + 18n + 3n2 + (6n2 + n3)) + -9n2 = 0 Combine like terms: 2n + 18n = 20n (12 + 20n + 3n2 + 6n2 + n3) + -9n2 = 0 Combine like terms: 3n2 + 6n2 = 9n2 (12 + 20n + 9n2 + n3) + -9n2 = 0 Reorder the terms: 12 + 20n + 9n2 + -9n2 + n3 = 0 Combine like terms: 9n2 + -9n2 = 0 12 + 20n + 0 + n3 = 0 12 + 20n + n3 = 0 Solving 12 + 20n + n3 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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