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Simplifying (n + 2)(n + 1)(n)(n + -1) + -143640 = 0 Reorder the terms: (2 + n)(n + 1)(n)(n + -1) + -143640 = 0 Reorder the terms: (2 + n)(1 + n)(n)(n + -1) + -143640 = 0 Reorder the terms: (2 + n)(1 + n) * n(-1 + n) + -143640 = 0 Reorder the terms for easier multiplication: n(2 + n)(1 + n)(-1 + n) + -143640 = 0 Multiply (2 + n) * (1 + n) n(2(1 + n) + n(1 + n))(-1 + n) + -143640 = 0 n((1 * 2 + n * 2) + n(1 + n))(-1 + n) + -143640 = 0 n((2 + 2n) + n(1 + n))(-1 + n) + -143640 = 0 n(2 + 2n + (1 * n + n * n))(-1 + n) + -143640 = 0 n(2 + 2n + (1n + n2))(-1 + n) + -143640 = 0 Combine like terms: 2n + 1n = 3n n(2 + 3n + n2)(-1 + n) + -143640 = 0 Multiply (2 + 3n + n2) * (-1 + n) n(2(-1 + n) + 3n * (-1 + n) + n2(-1 + n)) + -143640 = 0 n((-1 * 2 + n * 2) + 3n * (-1 + n) + n2(-1 + n)) + -143640 = 0 n((-2 + 2n) + 3n * (-1 + n) + n2(-1 + n)) + -143640 = 0 n(-2 + 2n + (-1 * 3n + n * 3n) + n2(-1 + n)) + -143640 = 0 n(-2 + 2n + (-3n + 3n2) + n2(-1 + n)) + -143640 = 0 n(-2 + 2n + -3n + 3n2 + (-1 * n2 + n * n2)) + -143640 = 0 n(-2 + 2n + -3n + 3n2 + (-1n2 + n3)) + -143640 = 0 Combine like terms: 2n + -3n = -1n n(-2 + -1n + 3n2 + -1n2 + n3) + -143640 = 0 Combine like terms: 3n2 + -1n2 = 2n2 n(-2 + -1n + 2n2 + n3) + -143640 = 0 (-2 * n + -1n * n + 2n2 * n + n3 * n) + -143640 = 0 (-2n + -1n2 + 2n3 + n4) + -143640 = 0 Reorder the terms: -143640 + -2n + -1n2 + 2n3 + n4 = 0 Solving -143640 + -2n + -1n2 + 2n3 + n4 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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