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Simplifying (6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3)(n + -4) = 0 Reorder the terms: (6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(n + -2)(n + -3)(n + -4) = 0 Reorder the terms: (6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(n + -3)(n + -4) = 0 Reorder the terms: (6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(n + -4) = 0 Reorder the terms: (6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Multiply (6 + n) * (5 + n) (6(5 + n) + n(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 ((5 * 6 + n * 6) + n(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 ((30 + 6n) + n(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (30 + 6n + (5 * n + n * n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (30 + 6n + (5n + n2))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 6n + 5n = 11n (30 + 11n + n2)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Multiply (30 + 11n + n2) * (4 + n) (30(4 + n) + 11n * (4 + n) + n2(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 ((4 * 30 + n * 30) + 11n * (4 + n) + n2(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 ((120 + 30n) + 11n * (4 + n) + n2(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (120 + 30n + (4 * 11n + n * 11n) + n2(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (120 + 30n + (44n + 11n2) + n2(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (120 + 30n + 44n + 11n2 + (4 * n2 + n * n2))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (120 + 30n + 44n + 11n2 + (4n2 + n3))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 30n + 44n = 74n (120 + 74n + 11n2 + 4n2 + n3)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 11n2 + 4n2 = 15n2 (120 + 74n + 15n2 + n3)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Multiply (120 + 74n + 15n2 + n3) * (3 + n) (120(3 + n) + 74n * (3 + n) + 15n2 * (3 + n) + n3(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 ((3 * 120 + n * 120) + 74n * (3 + n) + 15n2 * (3 + n) + n3(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 ((360 + 120n) + 74n * (3 + n) + 15n2 * (3 + n) + n3(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (360 + 120n + (3 * 74n + n * 74n) + 15n2 * (3 + n) + n3(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (360 + 120n + (222n + 74n2) + 15n2 * (3 + n) + n3(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (360 + 120n + 222n + 74n2 + (3 * 15n2 + n * 15n2) + n3(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (360 + 120n + 222n + 74n2 + (45n2 + 15n3) + n3(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (360 + 120n + 222n + 74n2 + 45n2 + 15n3 + (3 * n3 + n * n3))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (360 + 120n + 222n + 74n2 + 45n2 + 15n3 + (3n3 + n4))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 120n + 222n = 342n (360 + 342n + 74n2 + 45n2 + 15n3 + 3n3 + n4)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 74n2 + 45n2 = 119n2 (360 + 342n + 119n2 + 15n3 + 3n3 + n4)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 15n3 + 3n3 = 18n3 (360 + 342n + 119n2 + 18n3 + n4)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Multiply (360 + 342n + 119n2 + 18n3 + n4) * (2 + n) (360(2 + n) + 342n * (2 + n) + 119n2 * (2 + n) + 18n3 * (2 + n) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 ((2 * 360 + n * 360) + 342n * (2 + n) + 119n2 * (2 + n) + 18n3 * (2 + n) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 ((720 + 360n) + 342n * (2 + n) + 119n2 * (2 + n) + 18n3 * (2 + n) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (720 + 360n + (2 * 342n + n * 342n) + 119n2 * (2 + n) + 18n3 * (2 + n) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (720 + 360n + (684n + 342n2) + 119n2 * (2 + n) + 18n3 * (2 + n) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (720 + 360n + 684n + 342n2 + (2 * 119n2 + n * 119n2) + 18n3 * (2 + n) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (720 + 360n + 684n + 342n2 + (238n2 + 119n3) + 18n3 * (2 + n) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (720 + 360n + 684n + 342n2 + 238n2 + 119n3 + (2 * 18n3 + n * 18n3) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (720 + 360n + 684n + 342n2 + 238n2 + 119n3 + (36n3 + 18n4) + n4(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (720 + 360n + 684n + 342n2 + 238n2 + 119n3 + 36n3 + 18n4 + (2 * n4 + n * n4))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 (720 + 360n + 684n + 342n2 + 238n2 + 119n3 + 36n3 + 18n4 + (2n4 + n5))(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 360n + 684n = 1044n (720 + 1044n + 342n2 + 238n2 + 119n3 + 36n3 + 18n4 + 2n4 + n5)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 342n2 + 238n2 = 580n2 (720 + 1044n + 580n2 + 119n3 + 36n3 + 18n4 + 2n4 + n5)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 119n3 + 36n3 = 155n3 (720 + 1044n + 580n2 + 155n3 + 18n4 + 2n4 + n5)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 18n4 + 2n4 = 20n4 (720 + 1044n + 580n2 + 155n3 + 20n4 + n5)(-1 + n)(-2 + n)(-3 + n)(-4 + n) = 0 Multiply (720 + 1044n + 580n2 + 155n3 + 20n4 + n5) * (-1 + n) (720(-1 + n) + 1044n * (-1 + n) + 580n2 * (-1 + n) + 155n3 * (-1 + n) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 ((-1 * 720 + n * 720) + 1044n * (-1 + n) + 580n2 * (-1 + n) + 155n3 * (-1 + n) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 ((-720 + 720n) + 1044n * (-1 + n) + 580n2 * (-1 + n) + 155n3 * (-1 + n) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + (-1 * 1044n + n * 1044n) + 580n2 * (-1 + n) + 155n3 * (-1 + n) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + (-1044n + 1044n2) + 580n2 * (-1 + n) + 155n3 * (-1 + n) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + -1044n + 1044n2 + (-1 * 580n2 + n * 580n2) + 155n3 * (-1 + n) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + -1044n + 1044n2 + (-580n2 + 580n3) + 155n3 * (-1 + n) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + -1044n + 1044n2 + -580n2 + 580n3 + (-1 * 155n3 + n * 155n3) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + -1044n + 1044n2 + -580n2 + 580n3 + (-155n3 + 155n4) + 20n4 * (-1 + n) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + -1044n + 1044n2 + -580n2 + 580n3 + -155n3 + 155n4 + (-1 * 20n4 + n * 20n4) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + -1044n + 1044n2 + -580n2 + 580n3 + -155n3 + 155n4 + (-20n4 + 20n5) + n5(-1 + n))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + -1044n + 1044n2 + -580n2 + 580n3 + -155n3 + 155n4 + -20n4 + 20n5 + (-1 * n5 + n * n5))(-2 + n)(-3 + n)(-4 + n) = 0 (-720 + 720n + -1044n + 1044n2 + -580n2 + 580n3 + -155n3 + 155n4 + -20n4 + 20n5 + (-1n5 + n6))(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 720n + -1044n = -324n (-720 + -324n + 1044n2 + -580n2 + 580n3 + -155n3 + 155n4 + -20n4 + 20n5 + -1n5 + n6)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 1044n2 + -580n2 = 464n2 (-720 + -324n + 464n2 + 580n3 + -155n3 + 155n4 + -20n4 + 20n5 + -1n5 + n6)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 580n3 + -155n3 = 425n3 (-720 + -324n + 464n2 + 425n3 + 155n4 + -20n4 + 20n5 + -1n5 + n6)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 155n4 + -20n4 = 135n4 (-720 + -324n + 464n2 + 425n3 + 135n4 + 20n5 + -1n5 + n6)(-2 + n)(-3 + n)(-4 + n) = 0 Combine like terms: 20n5 + -1n5 = 19n5 (-720 + -324n + 464n2 + 425n3 + 135n4 + 19n5 + n6)(-2 + n)(-3 + n)(-4 + n) = 0 Multiply (-720 + -324n + 464n2 + 425n3 + 135n4 + 19n5 + n6) * (-2 + n) (-720(-2 + n) + -324n * (-2 + n) + 464n2 * (-2 + n) + 425n3 * (-2 + n) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 ((-2 * -720 + n * -720) + -324n * (-2 + n) + 464n2 * (-2 + n) + 425n3 * (-2 + n) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 ((1440 + -720n) + -324n * (-2 + n) + 464n2 * (-2 + n) + 425n3 * (-2 + n) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + (-2 * -324n + n * -324n) + 464n2 * (-2 + n) + 425n3 * (-2 + n) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + (648n + -324n2) + 464n2 * (-2 + n) + 425n3 * (-2 + n) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + (-2 * 464n2 + n * 464n2) + 425n3 * (-2 + n) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + (-928n2 + 464n3) + 425n3 * (-2 + n) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + -928n2 + 464n3 + (-2 * 425n3 + n * 425n3) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + -928n2 + 464n3 + (-850n3 + 425n4) + 135n4 * (-2 + n) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + -928n2 + 464n3 + -850n3 + 425n4 + (-2 * 135n4 + n * 135n4) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + -928n2 + 464n3 + -850n3 + 425n4 + (-270n4 + 135n5) + 19n5 * (-2 + n) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + -928n2 + 464n3 + -850n3 + 425n4 + -270n4 + 135n5 + (-2 * 19n5 + n * 19n5) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + -928n2 + 464n3 + -850n3 + 425n4 + -270n4 + 135n5 + (-38n5 + 19n6) + n6(-2 + n))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + -928n2 + 464n3 + -850n3 + 425n4 + -270n4 + 135n5 + -38n5 + 19n6 + (-2 * n6 + n * n6))(-3 + n)(-4 + n) = 0 (1440 + -720n + 648n + -324n2 + -928n2 + 464n3 + -850n3 + 425n4 + -270n4 + 135n5 + -38n5 + 19n6 + (-2n6 + n7))(-3 + n)(-4 + n) = 0 Combine like terms: -720n + 648n = -72n (1440 + -72n + -324n2 + -928n2 + 464n3 + -850n3 + 425n4 + -270n4 + 135n5 + -38n5 + 19n6 + -2n6 + n7)(-3 + n)(-4 + n) = 0 Combine like terms: -324n2 + -928n2 = -1252n2 (1440 + -72n + -1252n2 + 464n3 + -850n3 + 425n4 + -270n4 + 135n5 + -38n5 + 19n6 + -2n6 + n7)(-3 + n)(-4 + n) = 0 Combine like terms: 464n3 + -850n3 = -386n3 (1440 + -72n + -1252n2 + -386n3 + 425n4 + -270n4 + 135n5 + -38n5 + 19n6 + -2n6 + n7)(-3 + n)(-4 + n) = 0 Combine like terms: 425n4 + -270n4 = 155n4 (1440 + -72n + -1252n2 + -386n3 + 155n4 + 135n5 + -38n5 + 19n6 + -2n6 + n7)(-3 + n)(-4 + n) = 0 Combine like terms: 135n5 + -38n5 = 97n5 (1440 + -72n + -1252n2 + -386n3 + 155n4 + 97n5 + 19n6 + -2n6 + n7)(-3 + n)(-4 + n) = 0 Combine like terms: 19n6 + -2n6 = 17n6 (1440 + -72n + -1252n2 + -386n3 + 155n4 + 97n5 + 17n6 + n7)(-3 + n)(-4 + n) = 0 Multiply (1440 + -72n + -1252n2 + -386n3 + 155n4 + 97n5 + 17n6 + n7) * (-3 + n) (1440(-3 + n) + -72n * (-3 + n) + -1252n2 * (-3 + n) + -386n3 * (-3 + n) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 ((-3 * 1440 + n * 1440) + -72n * (-3 + n) + -1252n2 * (-3 + n) + -386n3 * (-3 + n) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 ((-4320 + 1440n) + -72n * (-3 + n) + -1252n2 * (-3 + n) + -386n3 * (-3 + n) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + (-3 * -72n + n * -72n) + -1252n2 * (-3 + n) + -386n3 * (-3 + n) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + (216n + -72n2) + -1252n2 * (-3 + n) + -386n3 * (-3 + n) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + (-3 * -1252n2 + n * -1252n2) + -386n3 * (-3 + n) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + (3756n2 + -1252n3) + -386n3 * (-3 + n) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + (-3 * -386n3 + n * -386n3) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + (1158n3 + -386n4) + 155n4 * (-3 + n) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + (-3 * 155n4 + n * 155n4) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + (-465n4 + 155n5) + 97n5 * (-3 + n) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + -465n4 + 155n5 + (-3 * 97n5 + n * 97n5) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + -465n4 + 155n5 + (-291n5 + 97n6) + 17n6 * (-3 + n) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + -465n4 + 155n5 + -291n5 + 97n6 + (-3 * 17n6 + n * 17n6) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + -465n4 + 155n5 + -291n5 + 97n6 + (-51n6 + 17n7) + n7(-3 + n))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + -465n4 + 155n5 + -291n5 + 97n6 + -51n6 + 17n7 + (-3 * n7 + n * n7))(-4 + n) = 0 (-4320 + 1440n + 216n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + -465n4 + 155n5 + -291n5 + 97n6 + -51n6 + 17n7 + (-3n7 + n8))(-4 + n) = 0 Combine like terms: 1440n + 216n = 1656n (-4320 + 1656n + -72n2 + 3756n2 + -1252n3 + 1158n3 + -386n4 + -465n4 + 155n5 + -291n5 + 97n6 + -51n6 + 17n7 + -3n7 + n8)(-4 + n) = 0 Combine like terms: -72n2 + 3756n2 = 3684n2 (-4320 + 1656n + 3684n2 + -1252n3 + 1158n3 + -386n4 + -465n4 + 155n5 + -291n5 + 97n6 + -51n6 + 17n7 + -3n7 + n8)(-4 + n) = 0 Combine like terms: -1252n3 + 1158n3 = -94n3 (-4320 + 1656n + 3684n2 + -94n3 + -386n4 + -465n4 + 155n5 + -291n5 + 97n6 + -51n6 + 17n7 + -3n7 + n8)(-4 + n) = 0 Combine like terms: -386n4 + -465n4 = -851n4 (-4320 + 1656n + 3684n2 + -94n3 + -851n4 + 155n5 + -291n5 + 97n6 + -51n6 + 17n7 + -3n7 + n8)(-4 + n) = 0 Combine like terms: 155n5 + -291n5 = -136n5 (-4320 + 1656n + 3684n2 + -94n3 + -851n4 + -136n5 + 97n6 + -51n6 + 17n7 + -3n7 + n8)(-4 + n) = 0 Combine like terms: 97n6 + -51n6 = 46n6 (-4320 + 1656n + 3684n2 + -94n3 + -851n4 + -136n5 + 46n6 + 17n7 + -3n7 + n8)(-4 + n) = 0 Combine like terms: 17n7 + -3n7 = 14n7 (-4320 + 1656n + 3684n2 + -94n3 + -851n4 + -136n5 + 46n6 + 14n7 + n8)(-4 + n) = 0 Multiply (-4320 + 1656n + 3684n2 + -94n3 + -851n4 + -136n5 + 46n6 + 14n7 + n8) * (-4 + n) (-4320(-4 + n) + 1656n * (-4 + n) + 3684n2 * (-4 + n) + -94n3 * (-4 + n) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 ((-4 * -4320 + n * -4320) + 1656n * (-4 + n) + 3684n2 * (-4 + n) + -94n3 * (-4 + n) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 ((17280 + -4320n) + 1656n * (-4 + n) + 3684n2 * (-4 + n) + -94n3 * (-4 + n) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + (-4 * 1656n + n * 1656n) + 3684n2 * (-4 + n) + -94n3 * (-4 + n) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + (-6624n + 1656n2) + 3684n2 * (-4 + n) + -94n3 * (-4 + n) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + (-4 * 3684n2 + n * 3684n2) + -94n3 * (-4 + n) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + (-14736n2 + 3684n3) + -94n3 * (-4 + n) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + (-4 * -94n3 + n * -94n3) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + (376n3 + -94n4) + -851n4 * (-4 + n) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + (-4 * -851n4 + n * -851n4) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + (3404n4 + -851n5) + -136n5 * (-4 + n) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + (-4 * -136n5 + n * -136n5) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + (544n5 + -136n6) + 46n6 * (-4 + n) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + (-4 * 46n6 + n * 46n6) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + (-184n6 + 46n7) + 14n7 * (-4 + n) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + -184n6 + 46n7 + (-4 * 14n7 + n * 14n7) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + -184n6 + 46n7 + (-56n7 + 14n8) + n8(-4 + n)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + -184n6 + 46n7 + -56n7 + 14n8 + (-4 * n8 + n * n8)) = 0 (17280 + -4320n + -6624n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + -184n6 + 46n7 + -56n7 + 14n8 + (-4n8 + n9)) = 0 Combine like terms: -4320n + -6624n = -10944n (17280 + -10944n + 1656n2 + -14736n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + -184n6 + 46n7 + -56n7 + 14n8 + -4n8 + n9) = 0 Combine like terms: 1656n2 + -14736n2 = -13080n2 (17280 + -10944n + -13080n2 + 3684n3 + 376n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + -184n6 + 46n7 + -56n7 + 14n8 + -4n8 + n9) = 0 Combine like terms: 3684n3 + 376n3 = 4060n3 (17280 + -10944n + -13080n2 + 4060n3 + -94n4 + 3404n4 + -851n5 + 544n5 + -136n6 + -184n6 + 46n7 + -56n7 + 14n8 + -4n8 + n9) = 0 Combine like terms: -94n4 + 3404n4 = 3310n4 (17280 + -10944n + -13080n2 + 4060n3 + 3310n4 + -851n5 + 544n5 + -136n6 + -184n6 + 46n7 + -56n7 + 14n8 + -4n8 + n9) = 0 Combine like terms: -851n5 + 544n5 = -307n5 (17280 + -10944n + -13080n2 + 4060n3 + 3310n4 + -307n5 + -136n6 + -184n6 + 46n7 + -56n7 + 14n8 + -4n8 + n9) = 0 Combine like terms: -136n6 + -184n6 = -320n6 (17280 + -10944n + -13080n2 + 4060n3 + 3310n4 + -307n5 + -320n6 + 46n7 + -56n7 + 14n8 + -4n8 + n9) = 0 Combine like terms: 46n7 + -56n7 = -10n7 (17280 + -10944n + -13080n2 + 4060n3 + 3310n4 + -307n5 + -320n6 + -10n7 + 14n8 + -4n8 + n9) = 0 Combine like terms: 14n8 + -4n8 = 10n8 (17280 + -10944n + -13080n2 + 4060n3 + 3310n4 + -307n5 + -320n6 + -10n7 + 10n8 + n9) = 0 Solving 17280 + -10944n + -13080n2 + 4060n3 + 3310n4 + -307n5 + -320n6 + -10n7 + 10n8 + n9 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
| 7w=26-6w | | 3p-7p+2=22 | | 9x-56=43 | | 3(x-4)=2.5x | | Y=5x^2+2 | | 3x+43=82 | | s=3+0.2r | | 3n+3n=-14 | | 8-(3+b)=b-8 | | 2.50+7.25x=32.50+5.25 | | 1.5x+1.5y=7.5 | | 9x+7=x | | 2x+5=-47 | | 2x+3+3x=43 | | 0.05x=7 | | 0.05=7 | | X+6x+18=0 | | 4-(2x-3)=4+3(x-4) | | 2(3b-1)=15b-12 | | 7x+4y=35 | | 24=x+3x-3+x+2 | | 8d-18-do=d | | y=x(2)-3 | | 20=x-6+x+x-6+x | | 2ln(x-2)=-4 | | y+6th=45-2y | | 6sin(2x+7)= | | 5000=75n+1500 | | -9=-3x-4x+2 | | -9=-3x-4x-2 | | -99=-3x-4x-2 | | -34=4x-x+2 |