(n-4)(n-5)(n-6)(n-7)(n-8)(n-9)(2+n)(n-1)(n-2)(n-3)=0

Simple and best practice solution for (n-4)(n-5)(n-6)(n-7)(n-8)(n-9)(2+n)(n-1)(n-2)(n-3)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your home

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Solution for (n-4)(n-5)(n-6)(n-7)(n-8)(n-9)(2+n)(n-1)(n-2)(n-3)=0 equation:


Simplifying
(n + -4)(n + -5)(n + -6)(n + -7)(n + -8)(n + -9)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(n + -5)(n + -6)(n + -7)(n + -8)(n + -9)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(n + -6)(n + -7)(n + -8)(n + -9)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(n + -7)(n + -8)(n + -9)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(n + -8)(n + -9)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(n + -9)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(n + -2)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(n + -3) = 0

Reorder the terms:
(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + 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)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-5 * -4 + n * -4) + n(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((20 + -4n) + n(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(20 + -4n + (-5 * n + n * n))(-6 + n)(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(20 + -4n + (-5n + n2))(-6 + n)(-7 + n)(-8 + n)(-9 + 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)(-9 + 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)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-6 * 20 + n * 20) + -9n * (-6 + n) + n2(-6 + n))(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-120 + 20n) + -9n * (-6 + n) + n2(-6 + n))(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-120 + 20n + (-6 * -9n + n * -9n) + n2(-6 + n))(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-120 + 20n + (54n + -9n2) + n2(-6 + n))(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-120 + 20n + 54n + -9n2 + (-6 * n2 + n * n2))(-7 + n)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-120 + 20n + 54n + -9n2 + (-6n2 + n3))(-7 + n)(-8 + n)(-9 + 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)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -9n2 + -6n2 = -15n2
(-120 + 74n + -15n2 + n3)(-7 + n)(-8 + n)(-9 + 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)(-9 + 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)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((840 + -120n) + 74n * (-7 + n) + -15n2 * (-7 + n) + n3(-7 + n))(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + (-7 * 74n + n * 74n) + -15n2 * (-7 + n) + n3(-7 + n))(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + (-518n + 74n2) + -15n2 * (-7 + n) + n3(-7 + n))(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + -518n + 74n2 + (-7 * -15n2 + n * -15n2) + n3(-7 + n))(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + -518n + 74n2 + (105n2 + -15n3) + n3(-7 + n))(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + -518n + 74n2 + 105n2 + -15n3 + (-7 * n3 + n * n3))(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(840 + -120n + -518n + 74n2 + 105n2 + -15n3 + (-7n3 + n4))(-8 + n)(-9 + 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)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 74n2 + 105n2 = 179n2
(840 + -638n + 179n2 + -15n3 + -7n3 + n4)(-8 + n)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -15n3 + -7n3 = -22n3
(840 + -638n + 179n2 + -22n3 + n4)(-8 + n)(-9 + 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))(-9 + 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))(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-6720 + 840n) + -638n * (-8 + n) + 179n2 * (-8 + n) + -22n3 * (-8 + n) + n4(-8 + n))(-9 + 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))(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + (5104n + -638n2) + 179n2 * (-8 + n) + -22n3 * (-8 + n) + n4(-8 + n))(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + (-8 * 179n2 + n * 179n2) + -22n3 * (-8 + n) + n4(-8 + n))(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + (-1432n2 + 179n3) + -22n3 * (-8 + n) + n4(-8 + n))(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + -1432n2 + 179n3 + (-8 * -22n3 + n * -22n3) + n4(-8 + n))(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + -1432n2 + 179n3 + (176n3 + -22n4) + n4(-8 + n))(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + -1432n2 + 179n3 + 176n3 + -22n4 + (-8 * n4 + n * n4))(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(-6720 + 840n + 5104n + -638n2 + -1432n2 + 179n3 + 176n3 + -22n4 + (-8n4 + n5))(-9 + 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)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -638n2 + -1432n2 = -2070n2
(-6720 + 5944n + -2070n2 + 179n3 + 176n3 + -22n4 + -8n4 + n5)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 179n3 + 176n3 = 355n3
(-6720 + 5944n + -2070n2 + 355n3 + -22n4 + -8n4 + n5)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -22n4 + -8n4 = -30n4
(-6720 + 5944n + -2070n2 + 355n3 + -30n4 + n5)(-9 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (-6720 + 5944n + -2070n2 + 355n3 + -30n4 + n5) * (-9 + n)
(-6720(-9 + n) + 5944n * (-9 + n) + -2070n2 * (-9 + n) + 355n3 * (-9 + n) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((-9 * -6720 + n * -6720) + 5944n * (-9 + n) + -2070n2 * (-9 + n) + 355n3 * (-9 + n) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
((60480 + -6720n) + 5944n * (-9 + n) + -2070n2 * (-9 + n) + 355n3 * (-9 + n) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + (-9 * 5944n + n * 5944n) + -2070n2 * (-9 + n) + 355n3 * (-9 + n) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + (-53496n + 5944n2) + -2070n2 * (-9 + n) + 355n3 * (-9 + n) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + -53496n + 5944n2 + (-9 * -2070n2 + n * -2070n2) + 355n3 * (-9 + n) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + -53496n + 5944n2 + (18630n2 + -2070n3) + 355n3 * (-9 + n) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + -53496n + 5944n2 + 18630n2 + -2070n3 + (-9 * 355n3 + n * 355n3) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + -53496n + 5944n2 + 18630n2 + -2070n3 + (-3195n3 + 355n4) + -30n4 * (-9 + n) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + -53496n + 5944n2 + 18630n2 + -2070n3 + -3195n3 + 355n4 + (-9 * -30n4 + n * -30n4) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + -53496n + 5944n2 + 18630n2 + -2070n3 + -3195n3 + 355n4 + (270n4 + -30n5) + n5(-9 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + -53496n + 5944n2 + 18630n2 + -2070n3 + -3195n3 + 355n4 + 270n4 + -30n5 + (-9 * n5 + n * n5))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0
(60480 + -6720n + -53496n + 5944n2 + 18630n2 + -2070n3 + -3195n3 + 355n4 + 270n4 + -30n5 + (-9n5 + n6))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -6720n + -53496n = -60216n
(60480 + -60216n + 5944n2 + 18630n2 + -2070n3 + -3195n3 + 355n4 + 270n4 + -30n5 + -9n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 5944n2 + 18630n2 = 24574n2
(60480 + -60216n + 24574n2 + -2070n3 + -3195n3 + 355n4 + 270n4 + -30n5 + -9n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -2070n3 + -3195n3 = -5265n3
(60480 + -60216n + 24574n2 + -5265n3 + 355n4 + 270n4 + -30n5 + -9n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 355n4 + 270n4 = 625n4
(60480 + -60216n + 24574n2 + -5265n3 + 625n4 + -30n5 + -9n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -30n5 + -9n5 = -39n5
(60480 + -60216n + 24574n2 + -5265n3 + 625n4 + -39n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (60480 + -60216n + 24574n2 + -5265n3 + 625n4 + -39n5 + n6) * (2 + n)
(60480(2 + n) + -60216n * (2 + n) + 24574n2 * (2 + n) + -5265n3 * (2 + n) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
((2 * 60480 + n * 60480) + -60216n * (2 + n) + 24574n2 * (2 + n) + -5265n3 * (2 + n) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
((120960 + 60480n) + -60216n * (2 + n) + 24574n2 * (2 + n) + -5265n3 * (2 + n) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + (2 * -60216n + n * -60216n) + 24574n2 * (2 + n) + -5265n3 * (2 + n) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + (-120432n + -60216n2) + 24574n2 * (2 + n) + -5265n3 * (2 + n) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + (2 * 24574n2 + n * 24574n2) + -5265n3 * (2 + n) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + (49148n2 + 24574n3) + -5265n3 * (2 + n) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + 49148n2 + 24574n3 + (2 * -5265n3 + n * -5265n3) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + 49148n2 + 24574n3 + (-10530n3 + -5265n4) + 625n4 * (2 + n) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + 49148n2 + 24574n3 + -10530n3 + -5265n4 + (2 * 625n4 + n * 625n4) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + 49148n2 + 24574n3 + -10530n3 + -5265n4 + (1250n4 + 625n5) + -39n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + 49148n2 + 24574n3 + -10530n3 + -5265n4 + 1250n4 + 625n5 + (2 * -39n5 + n * -39n5) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + 49148n2 + 24574n3 + -10530n3 + -5265n4 + 1250n4 + 625n5 + (-78n5 + -39n6) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + 49148n2 + 24574n3 + -10530n3 + -5265n4 + 1250n4 + 625n5 + -78n5 + -39n6 + (2 * n6 + n * n6))(-1 + n)(-2 + n)(-3 + n) = 0
(120960 + 60480n + -120432n + -60216n2 + 49148n2 + 24574n3 + -10530n3 + -5265n4 + 1250n4 + 625n5 + -78n5 + -39n6 + (2n6 + n7))(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 60480n + -120432n = -59952n
(120960 + -59952n + -60216n2 + 49148n2 + 24574n3 + -10530n3 + -5265n4 + 1250n4 + 625n5 + -78n5 + -39n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -60216n2 + 49148n2 = -11068n2
(120960 + -59952n + -11068n2 + 24574n3 + -10530n3 + -5265n4 + 1250n4 + 625n5 + -78n5 + -39n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 24574n3 + -10530n3 = 14044n3
(120960 + -59952n + -11068n2 + 14044n3 + -5265n4 + 1250n4 + 625n5 + -78n5 + -39n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -5265n4 + 1250n4 = -4015n4
(120960 + -59952n + -11068n2 + 14044n3 + -4015n4 + 625n5 + -78n5 + -39n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: 625n5 + -78n5 = 547n5
(120960 + -59952n + -11068n2 + 14044n3 + -4015n4 + 547n5 + -39n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Combine like terms: -39n6 + 2n6 = -37n6
(120960 + -59952n + -11068n2 + 14044n3 + -4015n4 + 547n5 + -37n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0

Multiply (120960 + -59952n + -11068n2 + 14044n3 + -4015n4 + 547n5 + -37n6 + n7) * (-1 + n)
(120960(-1 + n) + -59952n * (-1 + n) + -11068n2 * (-1 + n) + 14044n3 * (-1 + n) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
((-1 * 120960 + n * 120960) + -59952n * (-1 + n) + -11068n2 * (-1 + n) + 14044n3 * (-1 + n) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
((-120960 + 120960n) + -59952n * (-1 + n) + -11068n2 * (-1 + n) + 14044n3 * (-1 + n) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + (-1 * -59952n + n * -59952n) + -11068n2 * (-1 + n) + 14044n3 * (-1 + n) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + (59952n + -59952n2) + -11068n2 * (-1 + n) + 14044n3 * (-1 + n) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + (-1 * -11068n2 + n * -11068n2) + 14044n3 * (-1 + n) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + (11068n2 + -11068n3) + 14044n3 * (-1 + n) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + (-1 * 14044n3 + n * 14044n3) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + (-14044n3 + 14044n4) + -4015n4 * (-1 + n) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + (-1 * -4015n4 + n * -4015n4) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + (4015n4 + -4015n5) + 547n5 * (-1 + n) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + 4015n4 + -4015n5 + (-1 * 547n5 + n * 547n5) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + 4015n4 + -4015n5 + (-547n5 + 547n6) + -37n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + 4015n4 + -4015n5 + -547n5 + 547n6 + (-1 * -37n6 + n * -37n6) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + 4015n4 + -4015n5 + -547n5 + 547n6 + (37n6 + -37n7) + n7(-1 + n))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + 4015n4 + -4015n5 + -547n5 + 547n6 + 37n6 + -37n7 + (-1 * n7 + n * n7))(-2 + n)(-3 + n) = 0
(-120960 + 120960n + 59952n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + 4015n4 + -4015n5 + -547n5 + 547n6 + 37n6 + -37n7 + (-1n7 + n8))(-2 + n)(-3 + n) = 0

Combine like terms: 120960n + 59952n = 180912n
(-120960 + 180912n + -59952n2 + 11068n2 + -11068n3 + -14044n3 + 14044n4 + 4015n4 + -4015n5 + -547n5 + 547n6 + 37n6 + -37n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: -59952n2 + 11068n2 = -48884n2
(-120960 + 180912n + -48884n2 + -11068n3 + -14044n3 + 14044n4 + 4015n4 + -4015n5 + -547n5 + 547n6 + 37n6 + -37n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: -11068n3 + -14044n3 = -25112n3
(-120960 + 180912n + -48884n2 + -25112n3 + 14044n4 + 4015n4 + -4015n5 + -547n5 + 547n6 + 37n6 + -37n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: 14044n4 + 4015n4 = 18059n4
(-120960 + 180912n + -48884n2 + -25112n3 + 18059n4 + -4015n5 + -547n5 + 547n6 + 37n6 + -37n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: -4015n5 + -547n5 = -4562n5
(-120960 + 180912n + -48884n2 + -25112n3 + 18059n4 + -4562n5 + 547n6 + 37n6 + -37n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: 547n6 + 37n6 = 584n6
(-120960 + 180912n + -48884n2 + -25112n3 + 18059n4 + -4562n5 + 584n6 + -37n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0

Combine like terms: -37n7 + -1n7 = -38n7
(-120960 + 180912n + -48884n2 + -25112n3 + 18059n4 + -4562n5 + 584n6 + -38n7 + n8)(-2 + n)(-3 + n) = 0

Multiply (-120960 + 180912n + -48884n2 + -25112n3 + 18059n4 + -4562n5 + 584n6 + -38n7 + n8) * (-2 + n)
(-120960(-2 + n) + 180912n * (-2 + n) + -48884n2 * (-2 + n) + -25112n3 * (-2 + n) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
((-2 * -120960 + n * -120960) + 180912n * (-2 + n) + -48884n2 * (-2 + n) + -25112n3 * (-2 + n) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
((241920 + -120960n) + 180912n * (-2 + n) + -48884n2 * (-2 + n) + -25112n3 * (-2 + n) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + (-2 * 180912n + n * 180912n) + -48884n2 * (-2 + n) + -25112n3 * (-2 + n) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + (-361824n + 180912n2) + -48884n2 * (-2 + n) + -25112n3 * (-2 + n) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + (-2 * -48884n2 + n * -48884n2) + -25112n3 * (-2 + n) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + (97768n2 + -48884n3) + -25112n3 * (-2 + n) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + (-2 * -25112n3 + n * -25112n3) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + (50224n3 + -25112n4) + 18059n4 * (-2 + n) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + (-2 * 18059n4 + n * 18059n4) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + (-36118n4 + 18059n5) + -4562n5 * (-2 + n) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + (-2 * -4562n5 + n * -4562n5) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + (9124n5 + -4562n6) + 584n6 * (-2 + n) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + (-2 * 584n6 + n * 584n6) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + (-1168n6 + 584n7) + -38n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + -1168n6 + 584n7 + (-2 * -38n7 + n * -38n7) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + -1168n6 + 584n7 + (76n7 + -38n8) + n8(-2 + n))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + -1168n6 + 584n7 + 76n7 + -38n8 + (-2 * n8 + n * n8))(-3 + n) = 0
(241920 + -120960n + -361824n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + -1168n6 + 584n7 + 76n7 + -38n8 + (-2n8 + n9))(-3 + n) = 0

Combine like terms: -120960n + -361824n = -482784n
(241920 + -482784n + 180912n2 + 97768n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + -1168n6 + 584n7 + 76n7 + -38n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: 180912n2 + 97768n2 = 278680n2
(241920 + -482784n + 278680n2 + -48884n3 + 50224n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + -1168n6 + 584n7 + 76n7 + -38n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -48884n3 + 50224n3 = 1340n3
(241920 + -482784n + 278680n2 + 1340n3 + -25112n4 + -36118n4 + 18059n5 + 9124n5 + -4562n6 + -1168n6 + 584n7 + 76n7 + -38n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -25112n4 + -36118n4 = -61230n4
(241920 + -482784n + 278680n2 + 1340n3 + -61230n4 + 18059n5 + 9124n5 + -4562n6 + -1168n6 + 584n7 + 76n7 + -38n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: 18059n5 + 9124n5 = 27183n5
(241920 + -482784n + 278680n2 + 1340n3 + -61230n4 + 27183n5 + -4562n6 + -1168n6 + 584n7 + 76n7 + -38n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -4562n6 + -1168n6 = -5730n6
(241920 + -482784n + 278680n2 + 1340n3 + -61230n4 + 27183n5 + -5730n6 + 584n7 + 76n7 + -38n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: 584n7 + 76n7 = 660n7
(241920 + -482784n + 278680n2 + 1340n3 + -61230n4 + 27183n5 + -5730n6 + 660n7 + -38n8 + -2n8 + n9)(-3 + n) = 0

Combine like terms: -38n8 + -2n8 = -40n8
(241920 + -482784n + 278680n2 + 1340n3 + -61230n4 + 27183n5 + -5730n6 + 660n7 + -40n8 + n9)(-3 + n) = 0

Multiply (241920 + -482784n + 278680n2 + 1340n3 + -61230n4 + 27183n5 + -5730n6 + 660n7 + -40n8 + n9) * (-3 + n)
(241920(-3 + n) + -482784n * (-3 + n) + 278680n2 * (-3 + n) + 1340n3 * (-3 + n) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
((-3 * 241920 + n * 241920) + -482784n * (-3 + n) + 278680n2 * (-3 + n) + 1340n3 * (-3 + n) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
((-725760 + 241920n) + -482784n * (-3 + n) + 278680n2 * (-3 + n) + 1340n3 * (-3 + n) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + (-3 * -482784n + n * -482784n) + 278680n2 * (-3 + n) + 1340n3 * (-3 + n) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + (1448352n + -482784n2) + 278680n2 * (-3 + n) + 1340n3 * (-3 + n) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + (-3 * 278680n2 + n * 278680n2) + 1340n3 * (-3 + n) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + (-836040n2 + 278680n3) + 1340n3 * (-3 + n) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + (-3 * 1340n3 + n * 1340n3) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + (-4020n3 + 1340n4) + -61230n4 * (-3 + n) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + (-3 * -61230n4 + n * -61230n4) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + (183690n4 + -61230n5) + 27183n5 * (-3 + n) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + (-3 * 27183n5 + n * 27183n5) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + (-81549n5 + 27183n6) + -5730n6 * (-3 + n) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + (-3 * -5730n6 + n * -5730n6) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + (17190n6 + -5730n7) + 660n7 * (-3 + n) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + (-3 * 660n7 + n * 660n7) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + (-1980n7 + 660n8) + -40n8 * (-3 + n) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + (-3 * -40n8 + n * -40n8) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + (120n8 + -40n9) + n9(-3 + n)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + 120n8 + -40n9 + (-3 * n9 + n * n9)) = 0
(-725760 + 241920n + 1448352n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + 120n8 + -40n9 + (-3n9 + n10)) = 0

Combine like terms: 241920n + 1448352n = 1690272n
(-725760 + 1690272n + -482784n2 + -836040n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + 120n8 + -40n9 + -3n9 + n10) = 0

Combine like terms: -482784n2 + -836040n2 = -1318824n2
(-725760 + 1690272n + -1318824n2 + 278680n3 + -4020n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + 120n8 + -40n9 + -3n9 + n10) = 0

Combine like terms: 278680n3 + -4020n3 = 274660n3
(-725760 + 1690272n + -1318824n2 + 274660n3 + 1340n4 + 183690n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + 120n8 + -40n9 + -3n9 + n10) = 0

Combine like terms: 1340n4 + 183690n4 = 185030n4
(-725760 + 1690272n + -1318824n2 + 274660n3 + 185030n4 + -61230n5 + -81549n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + 120n8 + -40n9 + -3n9 + n10) = 0

Combine like terms: -61230n5 + -81549n5 = -142779n5
(-725760 + 1690272n + -1318824n2 + 274660n3 + 185030n4 + -142779n5 + 27183n6 + 17190n6 + -5730n7 + -1980n7 + 660n8 + 120n8 + -40n9 + -3n9 + n10) = 0

Combine like terms: 27183n6 + 17190n6 = 44373n6
(-725760 + 1690272n + -1318824n2 + 274660n3 + 185030n4 + -142779n5 + 44373n6 + -5730n7 + -1980n7 + 660n8 + 120n8 + -40n9 + -3n9 + n10) = 0

Combine like terms: -5730n7 + -1980n7 = -7710n7
(-725760 + 1690272n + -1318824n2 + 274660n3 + 185030n4 + -142779n5 + 44373n6 + -7710n7 + 660n8 + 120n8 + -40n9 + -3n9 + n10) = 0

Combine like terms: 660n8 + 120n8 = 780n8
(-725760 + 1690272n + -1318824n2 + 274660n3 + 185030n4 + -142779n5 + 44373n6 + -7710n7 + 780n8 + -40n9 + -3n9 + n10) = 0

Combine like terms: -40n9 + -3n9 = -43n9
(-725760 + 1690272n + -1318824n2 + 274660n3 + 185030n4 + -142779n5 + 44373n6 + -7710n7 + 780n8 + -43n9 + n10) = 0

Solving
-725760 + 1690272n + -1318824n2 + 274660n3 + 185030n4 + -142779n5 + 44373n6 + -7710n7 + 780n8 + -43n9 + n10 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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