(6+n)(5+n)(4+n)(3+n)(2+n)(n-1)(n-2)(n-3)=0

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Solution for (6+n)(5+n)(4+n)(3+n)(2+n)(n-1)(n-2)(n-3)=0 equation:

Simplifying
(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(n + -2)(n + -3) = 0

Reorder the terms:
(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(n + -3) = 0

Reorder the terms:
(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + 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) = 0
((5 * 6 + n * 6) + n(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((30 + 6n) + n(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(30 + 6n + (5 * n + n * n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(30 + 6n + (5n + n²))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 6n + 5n = 11n
(30 + 11n + n²)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + 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) = 0
((4 * 30 + n * 30) + 11n * (4 + n) + n²(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((120 + 30n) + 11n * (4 + n) + n²(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(120 + 30n + (4 * 11n + n * 11n) + n²(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(120 + 30n + (44n + 11n²) + n²(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(120 + 30n + 44n + 11n² + (4 * n² + n * n²))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(120 + 30n + 44n + 11n² + (4n² + n³))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 30n + 44n = 74n
(120 + 74n + 11n² + 4n² + n³)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 11n² + 4n² = 15n²
(120 + 74n + 15n² + n³)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + 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) = 0
((3 * 120 + n * 120) + 74n * (3 + n) + 15n² * (3 + n) + n³(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((360 + 120n) + 74n * (3 + n) + 15n² * (3 + n) + n³(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(360 + 120n + (3 * 74n + n * 74n) + 15n² * (3 + n) + n³(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(360 + 120n + (222n + 74n²) + 15n² * (3 + n) + n³(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(360 + 120n + 222n + 74n² + (3 * 15n² + n * 15n²) + n³(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(360 + 120n + 222n + 74n² + (45n² + 15n³) + n³(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(360 + 120n + 222n + 74n² + 45n² + 15n³ + (3 * n³ + n * n³))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(360 + 120n + 222n + 74n² + 45n² + 15n³ + (3n³ + n⁴))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 120n + 222n = 342n
(360 + 342n + 74n² + 45n² + 15n³ + 3n³ + n⁴)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 74n² + 45n² = 119n²
(360 + 342n + 119n² + 15n³ + 3n³ + n⁴)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 15n³ + 3n³ = 18n³
(360 + 342n + 119n² + 18n³ + n⁴)(2 + n)(-1 + n)(-2 + n)(-3 + 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) = 0
((2 * 360 + n * 360) + 342n * (2 + n) + 119n² * (2 + n) + 18n³ * (2 + n) + n⁴(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
((720 + 360n) + 342n * (2 + n) + 119n² * (2 + n) + 18n³ * (2 + n) + n⁴(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(720 + 360n + (2 * 342n + n * 342n) + 119n² * (2 + n) + 18n³ * (2 + n) + n⁴(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(720 + 360n + (684n + 342n²) + 119n² * (2 + n) + 18n³ * (2 + n) + n⁴(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(720 + 360n + 684n + 342n² + (2 * 119n² + n * 119n²) + 18n³ * (2 + n) + n⁴(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(720 + 360n + 684n + 342n² + (238n² + 119n³) + 18n³ * (2 + n) + n⁴(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(720 + 360n + 684n + 342n² + 238n² + 119n³ + (2 * 18n³ + n * 18n³) + n⁴(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(720 + 360n + 684n + 342n² + 238n² + 119n³ + (36n³ + 18n⁴) + n⁴(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(720 + 360n + 684n + 342n² + 238n² + 119n³ + 36n³ + 18n⁴ + (2 * n⁴ + n * n⁴))(-1 + n)(-2 + n)(-3 + n) = 0
(720 + 360n + 684n + 342n² + 238n² + 119n³ + 36n³ + 18n⁴ + (2n⁴ + n⁵))(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 360n + 684n = 1044n
(720 + 1044n + 342n² + 238n² + 119n³ + 36n³ + 18n⁴ + 2n⁴ + n⁵)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 342n² + 238n² = 580n²
(720 + 1044n + 580n² + 119n³ + 36n³ + 18n⁴ + 2n⁴ + n⁵)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 119n³ + 36n³ = 155n³
(720 + 1044n + 580n² + 155n³ + 18n⁴ + 2n⁴ + n⁵)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 18n⁴ + 2n⁴ = 20n⁴
(720 + 1044n + 580n² + 155n³ + 20n⁴ + n⁵)(-1 + n)(-2 + n)(-3 + 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) = 0
((-1 * 720 + n * 720) + 1044n * (-1 + n) + 580n² * (-1 + n) + 155n³ * (-1 + n) + 20n⁴ * (-1 + n) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
((-720 + 720n) + 1044n * (-1 + n) + 580n² * (-1 + n) + 155n³ * (-1 + n) + 20n⁴ * (-1 + n) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + (-1 * 1044n + n * 1044n) + 580n² * (-1 + n) + 155n³ * (-1 + n) + 20n⁴ * (-1 + n) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + (-1044n + 1044n²) + 580n² * (-1 + n) + 155n³ * (-1 + n) + 20n⁴ * (-1 + n) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + -1044n + 1044n² + (-1 * 580n² + n * 580n²) + 155n³ * (-1 + n) + 20n⁴ * (-1 + n) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + -1044n + 1044n² + (-580n² + 580n³) + 155n³ * (-1 + n) + 20n⁴ * (-1 + n) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + -1044n + 1044n² + -580n² + 580n³ + (-1 * 155n³ + n * 155n³) + 20n⁴ * (-1 + n) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + -1044n + 1044n² + -580n² + 580n³ + (-155n³ + 155n⁴) + 20n⁴ * (-1 + n) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + -1044n + 1044n² + -580n² + 580n³ + -155n³ + 155n⁴ + (-1 * 20n⁴ + n * 20n⁴) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + -1044n + 1044n² + -580n² + 580n³ + -155n³ + 155n⁴ + (-20n⁴ + 20n⁵) + n⁵(-1 + n))(-2 + n)(-3 + n) = 0
(-720 + 720n + -1044n + 1044n² + -580n² + 580n³ + -155n³ + 155n⁴ + -20n⁴ + 20n⁵ + (-1 * n⁵ + n * n⁵))(-2 + n)(-3 + n) = 0
(-720 + 720n + -1044n + 1044n² + -580n² + 580n³ + -155n³ + 155n⁴ + -20n⁴ + 20n⁵ + (-1n⁵ + n⁶))(-2 + n)(-3 + n) = 0

Combine like terms: 720n + -1044n = -324n
(-720 + -324n + 1044n² + -580n² + 580n³ + -155n³ + 155n⁴ + -20n⁴ + 20n⁵ + -1n⁵ + n⁶)(-2 + n)(-3 + n) = 0

Combine like terms: 1044n² + -580n² = 464n²
(-720 + -324n + 464n² + 580n³ + -155n³ + 155n⁴ + -20n⁴ + 20n⁵ + -1n⁵ + n⁶)(-2 + n)(-3 + n) = 0

Combine like terms: 580n³ + -155n³ = 425n³
(-720 + -324n + 464n² + 425n³ + 155n⁴ + -20n⁴ + 20n⁵ + -1n⁵ + n⁶)(-2 + n)(-3 + n) = 0

Combine like terms: 155n⁴ + -20n⁴ = 135n⁴
(-720 + -324n + 464n² + 425n³ + 135n⁴ + 20n⁵ + -1n⁵ + n⁶)(-2 + n)(-3 + n) = 0

Combine like terms: 20n⁵ + -1n⁵ = 19n⁵
(-720 + -324n + 464n² + 425n³ + 135n⁴ + 19n⁵ + n⁶)(-2 + n)(-3 + 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) = 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) = 0
((1440 + -720n) + -324n * (-2 + n) + 464n² * (-2 + n) + 425n³ * (-2 + n) + 135n⁴ * (-2 + n) + 19n⁵ * (-2 + n) + n⁶(-2 + n))(-3 + 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) = 0
(1440 + -720n + (648n + -324n²) + 464n² * (-2 + n) + 425n³ * (-2 + n) + 135n⁴ * (-2 + n) + 19n⁵ * (-2 + n) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + (-2 * 464n² + n * 464n²) + 425n³ * (-2 + n) + 135n⁴ * (-2 + n) + 19n⁵ * (-2 + n) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + (-928n² + 464n³) + 425n³ * (-2 + n) + 135n⁴ * (-2 + n) + 19n⁵ * (-2 + n) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + -928n² + 464n³ + (-2 * 425n³ + n * 425n³) + 135n⁴ * (-2 + n) + 19n⁵ * (-2 + n) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + -928n² + 464n³ + (-850n³ + 425n⁴) + 135n⁴ * (-2 + n) + 19n⁵ * (-2 + n) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + -928n² + 464n³ + -850n³ + 425n⁴ + (-2 * 135n⁴ + n * 135n⁴) + 19n⁵ * (-2 + n) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + -928n² + 464n³ + -850n³ + 425n⁴ + (-270n⁴ + 135n⁵) + 19n⁵ * (-2 + n) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + -928n² + 464n³ + -850n³ + 425n⁴ + -270n⁴ + 135n⁵ + (-2 * 19n⁵ + n * 19n⁵) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + -928n² + 464n³ + -850n³ + 425n⁴ + -270n⁴ + 135n⁵ + (-38n⁵ + 19n⁶) + n⁶(-2 + n))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + -928n² + 464n³ + -850n³ + 425n⁴ + -270n⁴ + 135n⁵ + -38n⁵ + 19n⁶ + (-2 * n⁶ + n * n⁶))(-3 + n) = 0
(1440 + -720n + 648n + -324n² + -928n² + 464n³ + -850n³ + 425n⁴ + -270n⁴ + 135n⁵ + -38n⁵ + 19n⁶ + (-2n⁶ + n⁷))(-3 + n) = 0

Combine like terms: -720n + 648n = -72n
(1440 + -72n + -324n² + -928n² + 464n³ + -850n³ + 425n⁴ + -270n⁴ + 135n⁵ + -38n⁵ + 19n⁶ + -2n⁶ + n⁷)(-3 + n) = 0

Combine like terms: -324n² + -928n² = -1252n²
(1440 + -72n + -1252n² + 464n³ + -850n³ + 425n⁴ + -270n⁴ + 135n⁵ + -38n⁵ + 19n⁶ + -2n⁶ + n⁷)(-3 + n) = 0

Combine like terms: 464n³ + -850n³ = -386n³
(1440 + -72n + -1252n² + -386n³ + 425n⁴ + -270n⁴ + 135n⁵ + -38n⁵ + 19n⁶ + -2n⁶ + n⁷)(-3 + n) = 0

Combine like terms: 425n⁴ + -270n⁴ = 155n⁴
(1440 + -72n + -1252n² + -386n³ + 155n⁴ + 135n⁵ + -38n⁵ + 19n⁶ + -2n⁶ + n⁷)(-3 + n) = 0

Combine like terms: 135n⁵ + -38n⁵ = 97n⁵
(1440 + -72n + -1252n² + -386n³ + 155n⁴ + 97n⁵ + 19n⁶ + -2n⁶ + n⁷)(-3 + n) = 0

Combine like terms: 19n⁶ + -2n⁶ = 17n⁶
(1440 + -72n + -1252n² + -386n³ + 155n⁴ + 97n⁵ + 17n⁶ + n⁷)(-3 + 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)) = 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)) = 0
((-4320 + 1440n) + -72n * (-3 + n) + -1252n² * (-3 + n) + -386n³ * (-3 + n) + 155n⁴ * (-3 + n) + 97n⁵ * (-3 + n) + 17n⁶ * (-3 + n) + n⁷(-3 + 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)) = 0
(-4320 + 1440n + (216n + -72n²) + -1252n² * (-3 + n) + -386n³ * (-3 + n) + 155n⁴ * (-3 + n) + 97n⁵ * (-3 + n) + 17n⁶ * (-3 + n) + n⁷(-3 + 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)) = 0
(-4320 + 1440n + 216n + -72n² + (3756n² + -1252n³) + -386n³ * (-3 + n) + 155n⁴ * (-3 + n) + 97n⁵ * (-3 + n) + 17n⁶ * (-3 + n) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + (-3 * -386n³ + n * -386n³) + 155n⁴ * (-3 + n) + 97n⁵ * (-3 + n) + 17n⁶ * (-3 + n) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + (1158n³ + -386n⁴) + 155n⁴ * (-3 + n) + 97n⁵ * (-3 + n) + 17n⁶ * (-3 + n) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + (-3 * 155n⁴ + n * 155n⁴) + 97n⁵ * (-3 + n) + 17n⁶ * (-3 + n) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + (-465n⁴ + 155n⁵) + 97n⁵ * (-3 + n) + 17n⁶ * (-3 + n) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + -465n⁴ + 155n⁵ + (-3 * 97n⁵ + n * 97n⁵) + 17n⁶ * (-3 + n) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + -465n⁴ + 155n⁵ + (-291n⁵ + 97n⁶) + 17n⁶ * (-3 + n) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + -465n⁴ + 155n⁵ + -291n⁵ + 97n⁶ + (-3 * 17n⁶ + n * 17n⁶) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + -465n⁴ + 155n⁵ + -291n⁵ + 97n⁶ + (-51n⁶ + 17n⁷) + n⁷(-3 + n)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + -465n⁴ + 155n⁵ + -291n⁵ + 97n⁶ + -51n⁶ + 17n⁷ + (-3 * n⁷ + n * n⁷)) = 0
(-4320 + 1440n + 216n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + -465n⁴ + 155n⁵ + -291n⁵ + 97n⁶ + -51n⁶ + 17n⁷ + (-3n⁷ + n⁸)) = 0

Combine like terms: 1440n + 216n = 1656n
(-4320 + 1656n + -72n² + 3756n² + -1252n³ + 1158n³ + -386n⁴ + -465n⁴ + 155n⁵ + -291n⁵ + 97n⁶ + -51n⁶ + 17n⁷ + -3n⁷ + n⁸) = 0

Combine like terms: -72n² + 3756n² = 3684n²
(-4320 + 1656n + 3684n² + -1252n³ + 1158n³ + -386n⁴ + -465n⁴ + 155n⁵ + -291n⁵ + 97n⁶ + -51n⁶ + 17n⁷ + -3n⁷ + n⁸) = 0

Combine like terms: -1252n³ + 1158n³ = -94n³
(-4320 + 1656n + 3684n² + -94n³ + -386n⁴ + -465n⁴ + 155n⁵ + -291n⁵ + 97n⁶ + -51n⁶ + 17n⁷ + -3n⁷ + n⁸) = 0

Combine like terms: -386n⁴ + -465n⁴ = -851n⁴
(-4320 + 1656n + 3684n² + -94n³ + -851n⁴ + 155n⁵ + -291n⁵ + 97n⁶ + -51n⁶ + 17n⁷ + -3n⁷ + n⁸) = 0

Combine like terms: 155n⁵ + -291n⁵ = -136n⁵
(-4320 + 1656n + 3684n² + -94n³ + -851n⁴ + -136n⁵ + 97n⁶ + -51n⁶ + 17n⁷ + -3n⁷ + n⁸) = 0

Combine like terms: 97n⁶ + -51n⁶ = 46n⁶
(-4320 + 1656n + 3684n² + -94n³ + -851n⁴ + -136n⁵ + 46n⁶ + 17n⁷ + -3n⁷ + n⁸) = 0

Combine like terms: 17n⁷ + -3n⁷ = 14n⁷
(-4320 + 1656n + 3684n² + -94n³ + -851n⁴ + -136n⁵ + 46n⁶ + 14n⁷ + n⁸) = 0

Solving
-4320 + 1656n + 3684n² + -94n³ + -851n⁴ + -136n⁵ + 46n⁶ + 14n⁷ + n⁸ = 0

Solving for variable 'n'.

The solution to this equation could not be determined.
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(6+n)(5+n)(4+n)(3+n)(2+n)(n-1)(n-2)(n-3)=0

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Solution for (6+n)(5+n)(4+n)(3+n)(2+n)(n-1)(n-2)(n-3)=0 equation:

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