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

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


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

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

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

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

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

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

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

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

Multiply (6 + 5n + n2) * (-1 + n)
(6(-1 + n) + 5n * (-1 + n) + n2(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
((-1 * 6 + n * 6) + 5n * (-1 + n) + n2(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
((-6 + 6n) + 5n * (-1 + n) + n2(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-6 + 6n + (-1 * 5n + n * 5n) + n2(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-6 + 6n + (-5n + 5n2) + n2(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-6 + 6n + -5n + 5n2 + (-1 * n2 + n * n2))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-6 + 6n + -5n + 5n2 + (-1n2 + n3))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 6n + -5n = 1n
(-6 + 1n + 5n2 + -1n2 + n3)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 5n2 + -1n2 = 4n2
(-6 + 1n + 4n2 + n3)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Multiply (-6 + 1n + 4n2 + n3) * (-2 + n)
(-6(-2 + n) + 1n * (-2 + n) + 4n2 * (-2 + n) + n3(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
((-2 * -6 + n * -6) + 1n * (-2 + n) + 4n2 * (-2 + n) + n3(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
((12 + -6n) + 1n * (-2 + n) + 4n2 * (-2 + n) + n3(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(12 + -6n + (-2 * 1n + n * 1n) + 4n2 * (-2 + n) + n3(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(12 + -6n + (-2n + 1n2) + 4n2 * (-2 + n) + n3(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(12 + -6n + -2n + 1n2 + (-2 * 4n2 + n * 4n2) + n3(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(12 + -6n + -2n + 1n2 + (-8n2 + 4n3) + n3(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(12 + -6n + -2n + 1n2 + -8n2 + 4n3 + (-2 * n3 + n * n3))(-3 + n)(-4 + n)(-5 + n) = 0
(12 + -6n + -2n + 1n2 + -8n2 + 4n3 + (-2n3 + n4))(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: -6n + -2n = -8n
(12 + -8n + 1n2 + -8n2 + 4n3 + -2n3 + n4)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 1n2 + -8n2 = -7n2
(12 + -8n + -7n2 + 4n3 + -2n3 + n4)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 4n3 + -2n3 = 2n3
(12 + -8n + -7n2 + 2n3 + n4)(-3 + n)(-4 + n)(-5 + n) = 0

Multiply (12 + -8n + -7n2 + 2n3 + n4) * (-3 + n)
(12(-3 + n) + -8n * (-3 + n) + -7n2 * (-3 + n) + 2n3 * (-3 + n) + n4(-3 + n))(-4 + n)(-5 + n) = 0
((-3 * 12 + n * 12) + -8n * (-3 + n) + -7n2 * (-3 + n) + 2n3 * (-3 + n) + n4(-3 + n))(-4 + n)(-5 + n) = 0
((-36 + 12n) + -8n * (-3 + n) + -7n2 * (-3 + n) + 2n3 * (-3 + n) + n4(-3 + n))(-4 + n)(-5 + n) = 0
(-36 + 12n + (-3 * -8n + n * -8n) + -7n2 * (-3 + n) + 2n3 * (-3 + n) + n4(-3 + n))(-4 + n)(-5 + n) = 0
(-36 + 12n + (24n + -8n2) + -7n2 * (-3 + n) + 2n3 * (-3 + n) + n4(-3 + n))(-4 + n)(-5 + n) = 0
(-36 + 12n + 24n + -8n2 + (-3 * -7n2 + n * -7n2) + 2n3 * (-3 + n) + n4(-3 + n))(-4 + n)(-5 + n) = 0
(-36 + 12n + 24n + -8n2 + (21n2 + -7n3) + 2n3 * (-3 + n) + n4(-3 + n))(-4 + n)(-5 + n) = 0
(-36 + 12n + 24n + -8n2 + 21n2 + -7n3 + (-3 * 2n3 + n * 2n3) + n4(-3 + n))(-4 + n)(-5 + n) = 0
(-36 + 12n + 24n + -8n2 + 21n2 + -7n3 + (-6n3 + 2n4) + n4(-3 + n))(-4 + n)(-5 + n) = 0
(-36 + 12n + 24n + -8n2 + 21n2 + -7n3 + -6n3 + 2n4 + (-3 * n4 + n * n4))(-4 + n)(-5 + n) = 0
(-36 + 12n + 24n + -8n2 + 21n2 + -7n3 + -6n3 + 2n4 + (-3n4 + n5))(-4 + n)(-5 + n) = 0

Combine like terms: 12n + 24n = 36n
(-36 + 36n + -8n2 + 21n2 + -7n3 + -6n3 + 2n4 + -3n4 + n5)(-4 + n)(-5 + n) = 0

Combine like terms: -8n2 + 21n2 = 13n2
(-36 + 36n + 13n2 + -7n3 + -6n3 + 2n4 + -3n4 + n5)(-4 + n)(-5 + n) = 0

Combine like terms: -7n3 + -6n3 = -13n3
(-36 + 36n + 13n2 + -13n3 + 2n4 + -3n4 + n5)(-4 + n)(-5 + n) = 0

Combine like terms: 2n4 + -3n4 = -1n4
(-36 + 36n + 13n2 + -13n3 + -1n4 + n5)(-4 + n)(-5 + n) = 0

Multiply (-36 + 36n + 13n2 + -13n3 + -1n4 + n5) * (-4 + n)
(-36(-4 + n) + 36n * (-4 + n) + 13n2 * (-4 + n) + -13n3 * (-4 + n) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
((-4 * -36 + n * -36) + 36n * (-4 + n) + 13n2 * (-4 + n) + -13n3 * (-4 + n) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
((144 + -36n) + 36n * (-4 + n) + 13n2 * (-4 + n) + -13n3 * (-4 + n) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + (-4 * 36n + n * 36n) + 13n2 * (-4 + n) + -13n3 * (-4 + n) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + (-144n + 36n2) + 13n2 * (-4 + n) + -13n3 * (-4 + n) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + -144n + 36n2 + (-4 * 13n2 + n * 13n2) + -13n3 * (-4 + n) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + -144n + 36n2 + (-52n2 + 13n3) + -13n3 * (-4 + n) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + -144n + 36n2 + -52n2 + 13n3 + (-4 * -13n3 + n * -13n3) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + -144n + 36n2 + -52n2 + 13n3 + (52n3 + -13n4) + -1n4 * (-4 + n) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + -144n + 36n2 + -52n2 + 13n3 + 52n3 + -13n4 + (-4 * -1n4 + n * -1n4) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + -144n + 36n2 + -52n2 + 13n3 + 52n3 + -13n4 + (4n4 + -1n5) + n5(-4 + n))(-5 + n) = 0
(144 + -36n + -144n + 36n2 + -52n2 + 13n3 + 52n3 + -13n4 + 4n4 + -1n5 + (-4 * n5 + n * n5))(-5 + n) = 0
(144 + -36n + -144n + 36n2 + -52n2 + 13n3 + 52n3 + -13n4 + 4n4 + -1n5 + (-4n5 + n6))(-5 + n) = 0

Combine like terms: -36n + -144n = -180n
(144 + -180n + 36n2 + -52n2 + 13n3 + 52n3 + -13n4 + 4n4 + -1n5 + -4n5 + n6)(-5 + n) = 0

Combine like terms: 36n2 + -52n2 = -16n2
(144 + -180n + -16n2 + 13n3 + 52n3 + -13n4 + 4n4 + -1n5 + -4n5 + n6)(-5 + n) = 0

Combine like terms: 13n3 + 52n3 = 65n3
(144 + -180n + -16n2 + 65n3 + -13n4 + 4n4 + -1n5 + -4n5 + n6)(-5 + n) = 0

Combine like terms: -13n4 + 4n4 = -9n4
(144 + -180n + -16n2 + 65n3 + -9n4 + -1n5 + -4n5 + n6)(-5 + n) = 0

Combine like terms: -1n5 + -4n5 = -5n5
(144 + -180n + -16n2 + 65n3 + -9n4 + -5n5 + n6)(-5 + n) = 0

Multiply (144 + -180n + -16n2 + 65n3 + -9n4 + -5n5 + n6) * (-5 + n)
(144(-5 + n) + -180n * (-5 + n) + -16n2 * (-5 + n) + 65n3 * (-5 + n) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
((-5 * 144 + n * 144) + -180n * (-5 + n) + -16n2 * (-5 + n) + 65n3 * (-5 + n) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
((-720 + 144n) + -180n * (-5 + n) + -16n2 * (-5 + n) + 65n3 * (-5 + n) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + (-5 * -180n + n * -180n) + -16n2 * (-5 + n) + 65n3 * (-5 + n) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + (900n + -180n2) + -16n2 * (-5 + n) + 65n3 * (-5 + n) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + (-5 * -16n2 + n * -16n2) + 65n3 * (-5 + n) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + (80n2 + -16n3) + 65n3 * (-5 + n) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + 80n2 + -16n3 + (-5 * 65n3 + n * 65n3) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + 80n2 + -16n3 + (-325n3 + 65n4) + -9n4 * (-5 + n) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + 80n2 + -16n3 + -325n3 + 65n4 + (-5 * -9n4 + n * -9n4) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + 80n2 + -16n3 + -325n3 + 65n4 + (45n4 + -9n5) + -5n5 * (-5 + n) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + 80n2 + -16n3 + -325n3 + 65n4 + 45n4 + -9n5 + (-5 * -5n5 + n * -5n5) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + 80n2 + -16n3 + -325n3 + 65n4 + 45n4 + -9n5 + (25n5 + -5n6) + n6(-5 + n)) = 0
(-720 + 144n + 900n + -180n2 + 80n2 + -16n3 + -325n3 + 65n4 + 45n4 + -9n5 + 25n5 + -5n6 + (-5 * n6 + n * n6)) = 0
(-720 + 144n + 900n + -180n2 + 80n2 + -16n3 + -325n3 + 65n4 + 45n4 + -9n5 + 25n5 + -5n6 + (-5n6 + n7)) = 0

Combine like terms: 144n + 900n = 1044n
(-720 + 1044n + -180n2 + 80n2 + -16n3 + -325n3 + 65n4 + 45n4 + -9n5 + 25n5 + -5n6 + -5n6 + n7) = 0

Combine like terms: -180n2 + 80n2 = -100n2
(-720 + 1044n + -100n2 + -16n3 + -325n3 + 65n4 + 45n4 + -9n5 + 25n5 + -5n6 + -5n6 + n7) = 0

Combine like terms: -16n3 + -325n3 = -341n3
(-720 + 1044n + -100n2 + -341n3 + 65n4 + 45n4 + -9n5 + 25n5 + -5n6 + -5n6 + n7) = 0

Combine like terms: 65n4 + 45n4 = 110n4
(-720 + 1044n + -100n2 + -341n3 + 110n4 + -9n5 + 25n5 + -5n6 + -5n6 + n7) = 0

Combine like terms: -9n5 + 25n5 = 16n5
(-720 + 1044n + -100n2 + -341n3 + 110n4 + 16n5 + -5n6 + -5n6 + n7) = 0

Combine like terms: -5n6 + -5n6 = -10n6
(-720 + 1044n + -100n2 + -341n3 + 110n4 + 16n5 + -10n6 + n7) = 0

Solving
-720 + 1044n + -100n2 + -341n3 + 110n4 + 16n5 + -10n6 + n7 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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