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Simplifying n(n + -1)(n + -2)(n + 1) = 840 Reorder the terms: n(-1 + n)(n + -2)(n + 1) = 840 Reorder the terms: n(-1 + n)(-2 + n)(n + 1) = 840 Reorder the terms: n(-1 + n)(-2 + n)(1 + n) = 840 Multiply (-1 + n) * (-2 + n) n(-1(-2 + n) + n(-2 + n))(1 + n) = 840 n((-2 * -1 + n * -1) + n(-2 + n))(1 + n) = 840 n((2 + -1n) + n(-2 + n))(1 + n) = 840 n(2 + -1n + (-2 * n + n * n))(1 + n) = 840 n(2 + -1n + (-2n + n2))(1 + n) = 840 Combine like terms: -1n + -2n = -3n n(2 + -3n + n2)(1 + n) = 840 Multiply (2 + -3n + n2) * (1 + n) n(2(1 + n) + -3n * (1 + n) + n2(1 + n)) = 840 n((1 * 2 + n * 2) + -3n * (1 + n) + n2(1 + n)) = 840 n((2 + 2n) + -3n * (1 + n) + n2(1 + n)) = 840 n(2 + 2n + (1 * -3n + n * -3n) + n2(1 + n)) = 840 n(2 + 2n + (-3n + -3n2) + n2(1 + n)) = 840 n(2 + 2n + -3n + -3n2 + (1 * n2 + n * n2)) = 840 n(2 + 2n + -3n + -3n2 + (1n2 + n3)) = 840 Combine like terms: 2n + -3n = -1n n(2 + -1n + -3n2 + 1n2 + n3) = 840 Combine like terms: -3n2 + 1n2 = -2n2 n(2 + -1n + -2n2 + n3) = 840 (2 * n + -1n * n + -2n2 * n + n3 * n) = 840 (2n + -1n2 + -2n3 + n4) = 840 Solving 2n + -1n2 + -2n3 + n4 = 840 Solving for variable 'n'. Reorder the terms: -840 + 2n + -1n2 + -2n3 + n4 = 840 + -840 Combine like terms: 840 + -840 = 0 -840 + 2n + -1n2 + -2n3 + n4 = 0 The solution to this equation could not be determined.
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