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Simplifying n(n + -1)(n + -2)(n + -3) = 360 Reorder the terms: n(-1 + n)(n + -2)(n + -3) = 360 Reorder the terms: n(-1 + n)(-2 + n)(n + -3) = 360 Reorder the terms: n(-1 + n)(-2 + n)(-3 + n) = 360 Multiply (-1 + n) * (-2 + n) n(-1(-2 + n) + n(-2 + n))(-3 + n) = 360 n((-2 * -1 + n * -1) + n(-2 + n))(-3 + n) = 360 n((2 + -1n) + n(-2 + n))(-3 + n) = 360 n(2 + -1n + (-2 * n + n * n))(-3 + n) = 360 n(2 + -1n + (-2n + n2))(-3 + n) = 360 Combine like terms: -1n + -2n = -3n n(2 + -3n + n2)(-3 + n) = 360 Multiply (2 + -3n + n2) * (-3 + n) n(2(-3 + n) + -3n * (-3 + n) + n2(-3 + n)) = 360 n((-3 * 2 + n * 2) + -3n * (-3 + n) + n2(-3 + n)) = 360 n((-6 + 2n) + -3n * (-3 + n) + n2(-3 + n)) = 360 n(-6 + 2n + (-3 * -3n + n * -3n) + n2(-3 + n)) = 360 n(-6 + 2n + (9n + -3n2) + n2(-3 + n)) = 360 n(-6 + 2n + 9n + -3n2 + (-3 * n2 + n * n2)) = 360 n(-6 + 2n + 9n + -3n2 + (-3n2 + n3)) = 360 Combine like terms: 2n + 9n = 11n n(-6 + 11n + -3n2 + -3n2 + n3) = 360 Combine like terms: -3n2 + -3n2 = -6n2 n(-6 + 11n + -6n2 + n3) = 360 (-6 * n + 11n * n + -6n2 * n + n3 * n) = 360 (-6n + 11n2 + -6n3 + n4) = 360 Solving -6n + 11n2 + -6n3 + n4 = 360 Solving for variable 'n'. Reorder the terms: -360 + -6n + 11n2 + -6n3 + n4 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + -6n + 11n2 + -6n3 + n4 = 0 The solution to this equation could not be determined.
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