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Simplifying n(n + 1)(2 + n) = 84 Reorder the terms: n(1 + n)(2 + n) = 84 Multiply (1 + n) * (2 + n) n(1(2 + n) + n(2 + n)) = 84 n((2 * 1 + n * 1) + n(2 + n)) = 84 n((2 + 1n) + n(2 + n)) = 84 n(2 + 1n + (2 * n + n * n)) = 84 n(2 + 1n + (2n + n2)) = 84 Combine like terms: 1n + 2n = 3n n(2 + 3n + n2) = 84 (2 * n + 3n * n + n2 * n) = 84 (2n + 3n2 + n3) = 84 Solving 2n + 3n2 + n3 = 84 Solving for variable 'n'. Reorder the terms: -84 + 2n + 3n2 + n3 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 2n + 3n2 + n3 = 0 The solution to this equation could not be determined.
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