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

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


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

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

Multiply (7 + n) * (6 + n)
(7(6 + n) + n(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n) = 0
((6 * 7 + n * 7) + n(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n) = 0
((42 + 7n) + n(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n) = 0
(42 + 7n + (6 * n + n * n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n) = 0
(42 + 7n + (6n + n2))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n) = 0

Combine like terms: 7n + 6n = 13n
(42 + 13n + n2)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n) = 0

Multiply (42 + 13n + n2) * (5 + n)
(42(5 + n) + 13n * (5 + n) + n2(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n) = 0
((5 * 42 + n * 42) + 13n * (5 + n) + n2(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n) = 0
((210 + 42n) + 13n * (5 + n) + n2(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n) = 0
(210 + 42n + (5 * 13n + n * 13n) + n2(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n) = 0
(210 + 42n + (65n + 13n2) + n2(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n) = 0
(210 + 42n + 65n + 13n2 + (5 * n2 + n * n2))(4 + n)(3 + n)(2 + n)(-1 + n) = 0
(210 + 42n + 65n + 13n2 + (5n2 + n3))(4 + n)(3 + n)(2 + n)(-1 + n) = 0

Combine like terms: 42n + 65n = 107n
(210 + 107n + 13n2 + 5n2 + n3)(4 + n)(3 + n)(2 + n)(-1 + n) = 0

Combine like terms: 13n2 + 5n2 = 18n2
(210 + 107n + 18n2 + n3)(4 + n)(3 + n)(2 + n)(-1 + n) = 0

Multiply (210 + 107n + 18n2 + n3) * (4 + n)
(210(4 + n) + 107n * (4 + n) + 18n2 * (4 + n) + n3(4 + n))(3 + n)(2 + n)(-1 + n) = 0
((4 * 210 + n * 210) + 107n * (4 + n) + 18n2 * (4 + n) + n3(4 + n))(3 + n)(2 + n)(-1 + n) = 0
((840 + 210n) + 107n * (4 + n) + 18n2 * (4 + n) + n3(4 + n))(3 + n)(2 + n)(-1 + n) = 0
(840 + 210n + (4 * 107n + n * 107n) + 18n2 * (4 + n) + n3(4 + n))(3 + n)(2 + n)(-1 + n) = 0
(840 + 210n + (428n + 107n2) + 18n2 * (4 + n) + n3(4 + n))(3 + n)(2 + n)(-1 + n) = 0
(840 + 210n + 428n + 107n2 + (4 * 18n2 + n * 18n2) + n3(4 + n))(3 + n)(2 + n)(-1 + n) = 0
(840 + 210n + 428n + 107n2 + (72n2 + 18n3) + n3(4 + n))(3 + n)(2 + n)(-1 + n) = 0
(840 + 210n + 428n + 107n2 + 72n2 + 18n3 + (4 * n3 + n * n3))(3 + n)(2 + n)(-1 + n) = 0
(840 + 210n + 428n + 107n2 + 72n2 + 18n3 + (4n3 + n4))(3 + n)(2 + n)(-1 + n) = 0

Combine like terms: 210n + 428n = 638n
(840 + 638n + 107n2 + 72n2 + 18n3 + 4n3 + n4)(3 + n)(2 + n)(-1 + n) = 0

Combine like terms: 107n2 + 72n2 = 179n2
(840 + 638n + 179n2 + 18n3 + 4n3 + n4)(3 + n)(2 + n)(-1 + n) = 0

Combine like terms: 18n3 + 4n3 = 22n3
(840 + 638n + 179n2 + 22n3 + n4)(3 + n)(2 + n)(-1 + n) = 0

Multiply (840 + 638n + 179n2 + 22n3 + n4) * (3 + n)
(840(3 + n) + 638n * (3 + n) + 179n2 * (3 + n) + 22n3 * (3 + n) + n4(3 + n))(2 + n)(-1 + n) = 0
((3 * 840 + n * 840) + 638n * (3 + n) + 179n2 * (3 + n) + 22n3 * (3 + n) + n4(3 + n))(2 + n)(-1 + n) = 0
((2520 + 840n) + 638n * (3 + n) + 179n2 * (3 + n) + 22n3 * (3 + n) + n4(3 + n))(2 + n)(-1 + n) = 0
(2520 + 840n + (3 * 638n + n * 638n) + 179n2 * (3 + n) + 22n3 * (3 + n) + n4(3 + n))(2 + n)(-1 + n) = 0
(2520 + 840n + (1914n + 638n2) + 179n2 * (3 + n) + 22n3 * (3 + n) + n4(3 + n))(2 + n)(-1 + n) = 0
(2520 + 840n + 1914n + 638n2 + (3 * 179n2 + n * 179n2) + 22n3 * (3 + n) + n4(3 + n))(2 + n)(-1 + n) = 0
(2520 + 840n + 1914n + 638n2 + (537n2 + 179n3) + 22n3 * (3 + n) + n4(3 + n))(2 + n)(-1 + n) = 0
(2520 + 840n + 1914n + 638n2 + 537n2 + 179n3 + (3 * 22n3 + n * 22n3) + n4(3 + n))(2 + n)(-1 + n) = 0
(2520 + 840n + 1914n + 638n2 + 537n2 + 179n3 + (66n3 + 22n4) + n4(3 + n))(2 + n)(-1 + n) = 0
(2520 + 840n + 1914n + 638n2 + 537n2 + 179n3 + 66n3 + 22n4 + (3 * n4 + n * n4))(2 + n)(-1 + n) = 0
(2520 + 840n + 1914n + 638n2 + 537n2 + 179n3 + 66n3 + 22n4 + (3n4 + n5))(2 + n)(-1 + n) = 0

Combine like terms: 840n + 1914n = 2754n
(2520 + 2754n + 638n2 + 537n2 + 179n3 + 66n3 + 22n4 + 3n4 + n5)(2 + n)(-1 + n) = 0

Combine like terms: 638n2 + 537n2 = 1175n2
(2520 + 2754n + 1175n2 + 179n3 + 66n3 + 22n4 + 3n4 + n5)(2 + n)(-1 + n) = 0

Combine like terms: 179n3 + 66n3 = 245n3
(2520 + 2754n + 1175n2 + 245n3 + 22n4 + 3n4 + n5)(2 + n)(-1 + n) = 0

Combine like terms: 22n4 + 3n4 = 25n4
(2520 + 2754n + 1175n2 + 245n3 + 25n4 + n5)(2 + n)(-1 + n) = 0

Multiply (2520 + 2754n + 1175n2 + 245n3 + 25n4 + n5) * (2 + n)
(2520(2 + n) + 2754n * (2 + n) + 1175n2 * (2 + n) + 245n3 * (2 + n) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
((2 * 2520 + n * 2520) + 2754n * (2 + n) + 1175n2 * (2 + n) + 245n3 * (2 + n) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
((5040 + 2520n) + 2754n * (2 + n) + 1175n2 * (2 + n) + 245n3 * (2 + n) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + (2 * 2754n + n * 2754n) + 1175n2 * (2 + n) + 245n3 * (2 + n) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + (5508n + 2754n2) + 1175n2 * (2 + n) + 245n3 * (2 + n) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + 5508n + 2754n2 + (2 * 1175n2 + n * 1175n2) + 245n3 * (2 + n) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + 5508n + 2754n2 + (2350n2 + 1175n3) + 245n3 * (2 + n) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + 5508n + 2754n2 + 2350n2 + 1175n3 + (2 * 245n3 + n * 245n3) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + 5508n + 2754n2 + 2350n2 + 1175n3 + (490n3 + 245n4) + 25n4 * (2 + n) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + 5508n + 2754n2 + 2350n2 + 1175n3 + 490n3 + 245n4 + (2 * 25n4 + n * 25n4) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + 5508n + 2754n2 + 2350n2 + 1175n3 + 490n3 + 245n4 + (50n4 + 25n5) + n5(2 + n))(-1 + n) = 0
(5040 + 2520n + 5508n + 2754n2 + 2350n2 + 1175n3 + 490n3 + 245n4 + 50n4 + 25n5 + (2 * n5 + n * n5))(-1 + n) = 0
(5040 + 2520n + 5508n + 2754n2 + 2350n2 + 1175n3 + 490n3 + 245n4 + 50n4 + 25n5 + (2n5 + n6))(-1 + n) = 0

Combine like terms: 2520n + 5508n = 8028n
(5040 + 8028n + 2754n2 + 2350n2 + 1175n3 + 490n3 + 245n4 + 50n4 + 25n5 + 2n5 + n6)(-1 + n) = 0

Combine like terms: 2754n2 + 2350n2 = 5104n2
(5040 + 8028n + 5104n2 + 1175n3 + 490n3 + 245n4 + 50n4 + 25n5 + 2n5 + n6)(-1 + n) = 0

Combine like terms: 1175n3 + 490n3 = 1665n3
(5040 + 8028n + 5104n2 + 1665n3 + 245n4 + 50n4 + 25n5 + 2n5 + n6)(-1 + n) = 0

Combine like terms: 245n4 + 50n4 = 295n4
(5040 + 8028n + 5104n2 + 1665n3 + 295n4 + 25n5 + 2n5 + n6)(-1 + n) = 0

Combine like terms: 25n5 + 2n5 = 27n5
(5040 + 8028n + 5104n2 + 1665n3 + 295n4 + 27n5 + n6)(-1 + n) = 0

Multiply (5040 + 8028n + 5104n2 + 1665n3 + 295n4 + 27n5 + n6) * (-1 + n)
(5040(-1 + n) + 8028n * (-1 + n) + 5104n2 * (-1 + n) + 1665n3 * (-1 + n) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
((-1 * 5040 + n * 5040) + 8028n * (-1 + n) + 5104n2 * (-1 + n) + 1665n3 * (-1 + n) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
((-5040 + 5040n) + 8028n * (-1 + n) + 5104n2 * (-1 + n) + 1665n3 * (-1 + n) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + (-1 * 8028n + n * 8028n) + 5104n2 * (-1 + n) + 1665n3 * (-1 + n) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + (-8028n + 8028n2) + 5104n2 * (-1 + n) + 1665n3 * (-1 + n) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + (-1 * 5104n2 + n * 5104n2) + 1665n3 * (-1 + n) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + (-5104n2 + 5104n3) + 1665n3 * (-1 + n) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + -5104n2 + 5104n3 + (-1 * 1665n3 + n * 1665n3) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + -5104n2 + 5104n3 + (-1665n3 + 1665n4) + 295n4 * (-1 + n) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + -5104n2 + 5104n3 + -1665n3 + 1665n4 + (-1 * 295n4 + n * 295n4) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + -5104n2 + 5104n3 + -1665n3 + 1665n4 + (-295n4 + 295n5) + 27n5 * (-1 + n) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + -5104n2 + 5104n3 + -1665n3 + 1665n4 + -295n4 + 295n5 + (-1 * 27n5 + n * 27n5) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + -5104n2 + 5104n3 + -1665n3 + 1665n4 + -295n4 + 295n5 + (-27n5 + 27n6) + n6(-1 + n)) = 0
(-5040 + 5040n + -8028n + 8028n2 + -5104n2 + 5104n3 + -1665n3 + 1665n4 + -295n4 + 295n5 + -27n5 + 27n6 + (-1 * n6 + n * n6)) = 0
(-5040 + 5040n + -8028n + 8028n2 + -5104n2 + 5104n3 + -1665n3 + 1665n4 + -295n4 + 295n5 + -27n5 + 27n6 + (-1n6 + n7)) = 0

Combine like terms: 5040n + -8028n = -2988n
(-5040 + -2988n + 8028n2 + -5104n2 + 5104n3 + -1665n3 + 1665n4 + -295n4 + 295n5 + -27n5 + 27n6 + -1n6 + n7) = 0

Combine like terms: 8028n2 + -5104n2 = 2924n2
(-5040 + -2988n + 2924n2 + 5104n3 + -1665n3 + 1665n4 + -295n4 + 295n5 + -27n5 + 27n6 + -1n6 + n7) = 0

Combine like terms: 5104n3 + -1665n3 = 3439n3
(-5040 + -2988n + 2924n2 + 3439n3 + 1665n4 + -295n4 + 295n5 + -27n5 + 27n6 + -1n6 + n7) = 0

Combine like terms: 1665n4 + -295n4 = 1370n4
(-5040 + -2988n + 2924n2 + 3439n3 + 1370n4 + 295n5 + -27n5 + 27n6 + -1n6 + n7) = 0

Combine like terms: 295n5 + -27n5 = 268n5
(-5040 + -2988n + 2924n2 + 3439n3 + 1370n4 + 268n5 + 27n6 + -1n6 + n7) = 0

Combine like terms: 27n6 + -1n6 = 26n6
(-5040 + -2988n + 2924n2 + 3439n3 + 1370n4 + 268n5 + 26n6 + n7) = 0

Solving
-5040 + -2988n + 2924n2 + 3439n3 + 1370n4 + 268n5 + 26n6 + n7 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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