(n-4)(n-5)(n-6)(n-7)(n-8)(3+n)(2+n)(n-1)(n-2)(n-3)=0

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Solution for (n-4)(n-5)(n-6)(n-7)(n-8)(3+n)(2+n)(n-1)(n-2)(n-3)=0 equation:


Simplifying
(n + -4)(n + -5)(n + -6)(n + -7)(n + -8)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(n + -5)(n + -6)(n + -7)(n + -8)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(n + -6)(n + -7)(n + -8)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(n + -7)(n + -8)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(n + -8)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (-4 + n) * (-5 + n)
(-4(-5 + n) + n(-5 + n))(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-5 * -4 + n * -4) + n(-5 + n))(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((20 + -4n) + n(-5 + n))(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(20 + -4n + (-5 * n + n * n))(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(20 + -4n + (-5n + n2))(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -4n + -5n = -9n
(20 + -9n + n2)(-6 + n)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (20 + -9n + n2) * (-6 + n)
(20(-6 + n) + -9n * (-6 + n) + n2(-6 + n))(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-6 * 20 + n * 20) + -9n * (-6 + n) + n2(-6 + n))(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-120 + 20n) + -9n * (-6 + n) + n2(-6 + n))(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-120 + 20n + (-6 * -9n + n * -9n) + n2(-6 + n))(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-120 + 20n + (54n + -9n2) + n2(-6 + n))(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-120 + 20n + 54n + -9n2 + (-6 * n2 + n * n2))(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-120 + 20n + 54n + -9n2 + (-6n2 + n3))(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 20n + 54n = 74n
(-120 + 74n + -9n2 + -6n2 + n3)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -9n2 + -6n2 = -15n2
(-120 + 74n + -15n2 + n3)(-7 + n)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (-120 + 74n + -15n2 + n3) * (-7 + n)
(-120(-7 + n) + 74n * (-7 + n) + -15n2 * (-7 + n) + n3(-7 + n))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-7 * -120 + n * -120) + 74n * (-7 + n) + -15n2 * (-7 + n) + n3(-7 + n))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((840 + -120n) + 74n * (-7 + n) + -15n2 * (-7 + n) + n3(-7 + n))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + (-7 * 74n + n * 74n) + -15n2 * (-7 + n) + n3(-7 + n))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + (-518n + 74n2) + -15n2 * (-7 + n) + n3(-7 + n))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + -518n + 74n2 + (-7 * -15n2 + n * -15n2) + n3(-7 + n))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + -518n + 74n2 + (105n2 + -15n3) + n3(-7 + n))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + -518n + 74n2 + 105n2 + -15n3 + (-7 * n3 + n * n3))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + -518n + 74n2 + 105n2 + -15n3 + (-7n3 + n4))(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -120n + -518n = -638n
(840 + -638n + 74n2 + 105n2 + -15n3 + -7n3 + n4)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 74n2 + 105n2 = 179n2
(840 + -638n + 179n2 + -15n3 + -7n3 + n4)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -15n3 + -7n3 = -22n3
(840 + -638n + 179n2 + -22n3 + n4)(-8 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (840 + -638n + 179n2 + -22n3 + n4) * (-8 + n)
(840(-8 + n) + -638n * (-8 + n) + 179n2 * (-8 + n) + -22n3 * (-8 + n) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-8 * 840 + n * 840) + -638n * (-8 + n) + 179n2 * (-8 + n) + -22n3 * (-8 + n) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-6720 + 840n) + -638n * (-8 + n) + 179n2 * (-8 + n) + -22n3 * (-8 + n) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + (-8 * -638n + n * -638n) + 179n2 * (-8 + n) + -22n3 * (-8 + n) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + (5104n + -638n2) + 179n2 * (-8 + n) + -22n3 * (-8 + n) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + (-8 * 179n2 + n * 179n2) + -22n3 * (-8 + n) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + (-1432n2 + 179n3) + -22n3 * (-8 + n) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + -1432n2 + 179n3 + (-8 * -22n3 + n * -22n3) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + -1432n2 + 179n3 + (176n3 + -22n4) + n4(-8 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + -1432n2 + 179n3 + 176n3 + -22n4 + (-8 * n4 + n * n4))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + -1432n2 + 179n3 + 176n3 + -22n4 + (-8n4 + n5))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 840n + 5104n = 5944n
(-6720 + 5944n + -638n2 + -1432n2 + 179n3 + 176n3 + -22n4 + -8n4 + n5)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -638n2 + -1432n2 = -2070n2
(-6720 + 5944n + -2070n2 + 179n3 + 176n3 + -22n4 + -8n4 + n5)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 179n3 + 176n3 = 355n3
(-6720 + 5944n + -2070n2 + 355n3 + -22n4 + -8n4 + n5)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -22n4 + -8n4 = -30n4
(-6720 + 5944n + -2070n2 + 355n3 + -30n4 + n5)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (-6720 + 5944n + -2070n2 + 355n3 + -30n4 + n5) * (3 + n)
(-6720(3 + n) + 5944n * (3 + n) + -2070n2 * (3 + n) + 355n3 * (3 + n) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((3 * -6720 + n * -6720) + 5944n * (3 + n) + -2070n2 * (3 + n) + 355n3 * (3 + n) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-20160 + -6720n) + 5944n * (3 + n) + -2070n2 * (3 + n) + 355n3 * (3 + n) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + (3 * 5944n + n * 5944n) + -2070n2 * (3 + n) + 355n3 * (3 + n) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + (17832n + 5944n2) + -2070n2 * (3 + n) + 355n3 * (3 + n) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + 17832n + 5944n2 + (3 * -2070n2 + n * -2070n2) + 355n3 * (3 + n) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + 17832n + 5944n2 + (-6210n2 + -2070n3) + 355n3 * (3 + n) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + 17832n + 5944n2 + -6210n2 + -2070n3 + (3 * 355n3 + n * 355n3) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + 17832n + 5944n2 + -6210n2 + -2070n3 + (1065n3 + 355n4) + -30n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + 17832n + 5944n2 + -6210n2 + -2070n3 + 1065n3 + 355n4 + (3 * -30n4 + n * -30n4) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + 17832n + 5944n2 + -6210n2 + -2070n3 + 1065n3 + 355n4 + (-90n4 + -30n5) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + 17832n + 5944n2 + -6210n2 + -2070n3 + 1065n3 + 355n4 + -90n4 + -30n5 + (3 * n5 + n * n5))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-20160 + -6720n + 17832n + 5944n2 + -6210n2 + -2070n3 + 1065n3 + 355n4 + -90n4 + -30n5 + (3n5 + n6))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -6720n + 17832n = 11112n
(-20160 + 11112n + 5944n2 + -6210n2 + -2070n3 + 1065n3 + 355n4 + -90n4 + -30n5 + 3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 5944n2 + -6210n2 = -266n2
(-20160 + 11112n + -266n2 + -2070n3 + 1065n3 + 355n4 + -90n4 + -30n5 + 3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -2070n3 + 1065n3 = -1005n3
(-20160 + 11112n + -266n2 + -1005n3 + 355n4 + -90n4 + -30n5 + 3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 355n4 + -90n4 = 265n4
(-20160 + 11112n + -266n2 + -1005n3 + 265n4 + -30n5 + 3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -30n5 + 3n5 = -27n5
(-20160 + 11112n + -266n2 + -1005n3 + 265n4 + -27n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (-20160 + 11112n + -266n2 + -1005n3 + 265n4 + -27n5 + n6) * (2 + n)
(-20160(2 + n) + 11112n * (2 + n) + -266n2 * (2 + n) + -1005n3 * (2 + n) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
((2 * -20160 + n * -20160) + 11112n * (2 + n) + -266n2 * (2 + n) + -1005n3 * (2 + n) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
((-40320 + -20160n) + 11112n * (2 + n) + -266n2 * (2 + n) + -1005n3 * (2 + n) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + (2 * 11112n + n * 11112n) + -266n2 * (2 + n) + -1005n3 * (2 + n) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + (22224n + 11112n2) + -266n2 * (2 + n) + -1005n3 * (2 + n) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + (2 * -266n2 + n * -266n2) + -1005n3 * (2 + n) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + (-532n2 + -266n3) + -1005n3 * (2 + n) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + -532n2 + -266n3 + (2 * -1005n3 + n * -1005n3) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + -532n2 + -266n3 + (-2010n3 + -1005n4) + 265n4 * (2 + n) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + -532n2 + -266n3 + -2010n3 + -1005n4 + (2 * 265n4 + n * 265n4) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + -532n2 + -266n3 + -2010n3 + -1005n4 + (530n4 + 265n5) + -27n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + -532n2 + -266n3 + -2010n3 + -1005n4 + 530n4 + 265n5 + (2 * -27n5 + n * -27n5) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + -532n2 + -266n3 + -2010n3 + -1005n4 + 530n4 + 265n5 + (-54n5 + -27n6) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + -532n2 + -266n3 + -2010n3 + -1005n4 + 530n4 + 265n5 + -54n5 + -27n6 + (2 * n6 + n * n6))(-1 + n)(-2 + n)(-3 + n) = 0
(-40320 + -20160n + 22224n + 11112n2 + -532n2 + -266n3 + -2010n3 + -1005n4 + 530n4 + 265n5 + -54n5 + -27n6 + (2n6 + n7))(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -20160n + 22224n = 2064n
(-40320 + 2064n + 11112n2 + -532n2 + -266n3 + -2010n3 + -1005n4 + 530n4 + 265n5 + -54n5 + -27n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 11112n2 + -532n2 = 10580n2
(-40320 + 2064n + 10580n2 + -266n3 + -2010n3 + -1005n4 + 530n4 + 265n5 + -54n5 + -27n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -266n3 + -2010n3 = -2276n3
(-40320 + 2064n + 10580n2 + -2276n3 + -1005n4 + 530n4 + 265n5 + -54n5 + -27n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -1005n4 + 530n4 = -475n4
(-40320 + 2064n + 10580n2 + -2276n3 + -475n4 + 265n5 + -54n5 + -27n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 265n5 + -54n5 = 211n5
(-40320 + 2064n + 10580n2 + -2276n3 + -475n4 + 211n5 + -27n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -27n6 + 2n6 = -25n6
(-40320 + 2064n + 10580n2 + -2276n3 + -475n4 + 211n5 + -25n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (-40320 + 2064n + 10580n2 + -2276n3 + -475n4 + 211n5 + -25n6 + n7) * (-1 + n)
(-40320(-1 + n) + 2064n * (-1 + n) + 10580n2 * (-1 + n) + -2276n3 * (-1 + n) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
((-1 * -40320 + n * -40320) + 2064n * (-1 + n) + 10580n2 * (-1 + n) + -2276n3 * (-1 + n) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
((40320 + -40320n) + 2064n * (-1 + n) + 10580n2 * (-1 + n) + -2276n3 * (-1 + n) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + (-1 * 2064n + n * 2064n) + 10580n2 * (-1 + n) + -2276n3 * (-1 + n) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + (-2064n + 2064n2) + 10580n2 * (-1 + n) + -2276n3 * (-1 + n) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + (-1 * 10580n2 + n * 10580n2) + -2276n3 * (-1 + n) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + (-10580n2 + 10580n3) + -2276n3 * (-1 + n) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + (-1 * -2276n3 + n * -2276n3) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + (2276n3 + -2276n4) + -475n4 * (-1 + n) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + (-1 * -475n4 + n * -475n4) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + (475n4 + -475n5) + 211n5 * (-1 + n) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + 475n4 + -475n5 + (-1 * 211n5 + n * 211n5) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + 475n4 + -475n5 + (-211n5 + 211n6) + -25n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + 475n4 + -475n5 + -211n5 + 211n6 + (-1 * -25n6 + n * -25n6) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + 475n4 + -475n5 + -211n5 + 211n6 + (25n6 + -25n7) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + 475n4 + -475n5 + -211n5 + 211n6 + 25n6 + -25n7 + (-1 * n7 + n * n7))(-2 + n)(-3 + n) = 0
(40320 + -40320n + -2064n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + 475n4 + -475n5 + -211n5 + 211n6 + 25n6 + -25n7 + (-1n7 + n8))(-2 + n)(-3 + n) = 0

Combine like terms: -40320n + -2064n = -42384n
(40320 + -42384n + 2064n2 + -10580n2 + 10580n3 + 2276n3 + -2276n4 + 475n4 + -475n5 + -211n5 + 211n6 + 25n6 + -25n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: 2064n2 + -10580n2 = -8516n2
(40320 + -42384n + -8516n2 + 10580n3 + 2276n3 + -2276n4 + 475n4 + -475n5 + -211n5 + 211n6 + 25n6 + -25n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: 10580n3 + 2276n3 = 12856n3
(40320 + -42384n + -8516n2 + 12856n3 + -2276n4 + 475n4 + -475n5 + -211n5 + 211n6 + 25n6 + -25n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: -2276n4 + 475n4 = -1801n4
(40320 + -42384n + -8516n2 + 12856n3 + -1801n4 + -475n5 + -211n5 + 211n6 + 25n6 + -25n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: -475n5 + -211n5 = -686n5
(40320 + -42384n + -8516n2 + 12856n3 + -1801n4 + -686n5 + 211n6 + 25n6 + -25n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: 211n6 + 25n6 = 236n6
(40320 + -42384n + -8516n2 + 12856n3 + -1801n4 + -686n5 + 236n6 + -25n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: -25n7 + -1n7 = -26n7
(40320 + -42384n + -8516n2 + 12856n3 + -1801n4 + -686n5 + 236n6 + -26n7 + n8)(-2 + n)(-3 + n) = 0

Multiply (40320 + -42384n + -8516n2 + 12856n3 + -1801n4 + -686n5 + 236n6 + -26n7 + n8) * (-2 + n)
(40320(-2 + n) + -42384n * (-2 + n) + -8516n2 * (-2 + n) + 12856n3 * (-2 + n) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
((-2 * 40320 + n * 40320) + -42384n * (-2 + n) + -8516n2 * (-2 + n) + 12856n3 * (-2 + n) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
((-80640 + 40320n) + -42384n * (-2 + n) + -8516n2 * (-2 + n) + 12856n3 * (-2 + n) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + (-2 * -42384n + n * -42384n) + -8516n2 * (-2 + n) + 12856n3 * (-2 + n) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + (84768n + -42384n2) + -8516n2 * (-2 + n) + 12856n3 * (-2 + n) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + (-2 * -8516n2 + n * -8516n2) + 12856n3 * (-2 + n) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + (17032n2 + -8516n3) + 12856n3 * (-2 + n) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + (-2 * 12856n3 + n * 12856n3) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + (-25712n3 + 12856n4) + -1801n4 * (-2 + n) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + (-2 * -1801n4 + n * -1801n4) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + (3602n4 + -1801n5) + -686n5 * (-2 + n) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + (-2 * -686n5 + n * -686n5) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + (1372n5 + -686n6) + 236n6 * (-2 + n) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + (-2 * 236n6 + n * 236n6) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + (-472n6 + 236n7) + -26n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + -472n6 + 236n7 + (-2 * -26n7 + n * -26n7) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + -472n6 + 236n7 + (52n7 + -26n8) + n8(-2 + n))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + -472n6 + 236n7 + 52n7 + -26n8 + (-2 * n8 + n * n8))(-3 + n) = 0
(-80640 + 40320n + 84768n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + -472n6 + 236n7 + 52n7 + -26n8 + (-2n8 + n9))(-3 + n) = 0

Combine like terms: 40320n + 84768n = 125088n
(-80640 + 125088n + -42384n2 + 17032n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + -472n6 + 236n7 + 52n7 + -26n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -42384n2 + 17032n2 = -25352n2
(-80640 + 125088n + -25352n2 + -8516n3 + -25712n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + -472n6 + 236n7 + 52n7 + -26n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -8516n3 + -25712n3 = -34228n3
(-80640 + 125088n + -25352n2 + -34228n3 + 12856n4 + 3602n4 + -1801n5 + 1372n5 + -686n6 + -472n6 + 236n7 + 52n7 + -26n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: 12856n4 + 3602n4 = 16458n4
(-80640 + 125088n + -25352n2 + -34228n3 + 16458n4 + -1801n5 + 1372n5 + -686n6 + -472n6 + 236n7 + 52n7 + -26n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -1801n5 + 1372n5 = -429n5
(-80640 + 125088n + -25352n2 + -34228n3 + 16458n4 + -429n5 + -686n6 + -472n6 + 236n7 + 52n7 + -26n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -686n6 + -472n6 = -1158n6
(-80640 + 125088n + -25352n2 + -34228n3 + 16458n4 + -429n5 + -1158n6 + 236n7 + 52n7 + -26n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: 236n7 + 52n7 = 288n7
(-80640 + 125088n + -25352n2 + -34228n3 + 16458n4 + -429n5 + -1158n6 + 288n7 + -26n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -26n8 + -2n8 = -28n8
(-80640 + 125088n + -25352n2 + -34228n3 + 16458n4 + -429n5 + -1158n6 + 288n7 + -28n8 + n9)(-3 + n) = 0

Multiply (-80640 + 125088n + -25352n2 + -34228n3 + 16458n4 + -429n5 + -1158n6 + 288n7 + -28n8 + n9) * (-3 + n)
(-80640(-3 + n) + 125088n * (-3 + n) + -25352n2 * (-3 + n) + -34228n3 * (-3 + n) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
((-3 * -80640 + n * -80640) + 125088n * (-3 + n) + -25352n2 * (-3 + n) + -34228n3 * (-3 + n) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
((241920 + -80640n) + 125088n * (-3 + n) + -25352n2 * (-3 + n) + -34228n3 * (-3 + n) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + (-3 * 125088n + n * 125088n) + -25352n2 * (-3 + n) + -34228n3 * (-3 + n) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + (-375264n + 125088n2) + -25352n2 * (-3 + n) + -34228n3 * (-3 + n) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + (-3 * -25352n2 + n * -25352n2) + -34228n3 * (-3 + n) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + (76056n2 + -25352n3) + -34228n3 * (-3 + n) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + (-3 * -34228n3 + n * -34228n3) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + (102684n3 + -34228n4) + 16458n4 * (-3 + n) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + (-3 * 16458n4 + n * 16458n4) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + (-49374n4 + 16458n5) + -429n5 * (-3 + n) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + (-3 * -429n5 + n * -429n5) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + (1287n5 + -429n6) + -1158n6 * (-3 + n) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + (-3 * -1158n6 + n * -1158n6) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + (3474n6 + -1158n7) + 288n7 * (-3 + n) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + (-3 * 288n7 + n * 288n7) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + (-864n7 + 288n8) + -28n8 * (-3 + n) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + (-3 * -28n8 + n * -28n8) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + (84n8 + -28n9) + n9(-3 + n)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + 84n8 + -28n9 + (-3 * n9 + n * n9)) = 0
(241920 + -80640n + -375264n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + 84n8 + -28n9 + (-3n9 + n10)) = 0

Combine like terms: -80640n + -375264n = -455904n
(241920 + -455904n + 125088n2 + 76056n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + 84n8 + -28n9 + -3n9 + n10) = 0

Combine like terms: 125088n2 + 76056n2 = 201144n2
(241920 + -455904n + 201144n2 + -25352n3 + 102684n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + 84n8 + -28n9 + -3n9 + n10) = 0

Combine like terms: -25352n3 + 102684n3 = 77332n3
(241920 + -455904n + 201144n2 + 77332n3 + -34228n4 + -49374n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + 84n8 + -28n9 + -3n9 + n10) = 0

Combine like terms: -34228n4 + -49374n4 = -83602n4
(241920 + -455904n + 201144n2 + 77332n3 + -83602n4 + 16458n5 + 1287n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + 84n8 + -28n9 + -3n9 + n10) = 0

Combine like terms: 16458n5 + 1287n5 = 17745n5
(241920 + -455904n + 201144n2 + 77332n3 + -83602n4 + 17745n5 + -429n6 + 3474n6 + -1158n7 + -864n7 + 288n8 + 84n8 + -28n9 + -3n9 + n10) = 0

Combine like terms: -429n6 + 3474n6 = 3045n6
(241920 + -455904n + 201144n2 + 77332n3 + -83602n4 + 17745n5 + 3045n6 + -1158n7 + -864n7 + 288n8 + 84n8 + -28n9 + -3n9 + n10) = 0

Combine like terms: -1158n7 + -864n7 = -2022n7
(241920 + -455904n + 201144n2 + 77332n3 + -83602n4 + 17745n5 + 3045n6 + -2022n7 + 288n8 + 84n8 + -28n9 + -3n9 + n10) = 0

Combine like terms: 288n8 + 84n8 = 372n8
(241920 + -455904n + 201144n2 + 77332n3 + -83602n4 + 17745n5 + 3045n6 + -2022n7 + 372n8 + -28n9 + -3n9 + n10) = 0

Combine like terms: -28n9 + -3n9 = -31n9
(241920 + -455904n + 201144n2 + 77332n3 + -83602n4 + 17745n5 + 3045n6 + -2022n7 + 372n8 + -31n9 + n10) = 0

Solving
241920 + -455904n + 201144n2 + 77332n3 + -83602n4 + 17745n5 + 3045n6 + -2022n7 + 372n8 + -31n9 + n10 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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