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

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


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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 4n + 12n = 16n
(-12 + 16n + -4n2 + 3n2 + -1n3 + -3n3 + n4)(-4 + n)(-5 + n) = 0

Combine like terms: -4n2 + 3n2 = -1n2
(-12 + 16n + -1n2 + -1n3 + -3n3 + n4)(-4 + n)(-5 + n) = 0

Combine like terms: -1n3 + -3n3 = -4n3
(-12 + 16n + -1n2 + -4n3 + n4)(-4 + n)(-5 + n) = 0

Multiply (-12 + 16n + -1n2 + -4n3 + n4) * (-4 + n)
(-12(-4 + n) + 16n * (-4 + n) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n) = 0
((-4 * -12 + n * -12) + 16n * (-4 + n) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n) = 0
((48 + -12n) + 16n * (-4 + n) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n) = 0
(48 + -12n + (-4 * 16n + n * 16n) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n) = 0
(48 + -12n + (-64n + 16n2) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n) = 0
(48 + -12n + -64n + 16n2 + (-4 * -1n2 + n * -1n2) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n) = 0
(48 + -12n + -64n + 16n2 + (4n2 + -1n3) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n) = 0
(48 + -12n + -64n + 16n2 + 4n2 + -1n3 + (-4 * -4n3 + n * -4n3) + n4(-4 + n))(-5 + n) = 0
(48 + -12n + -64n + 16n2 + 4n2 + -1n3 + (16n3 + -4n4) + n4(-4 + n))(-5 + n) = 0
(48 + -12n + -64n + 16n2 + 4n2 + -1n3 + 16n3 + -4n4 + (-4 * n4 + n * n4))(-5 + n) = 0
(48 + -12n + -64n + 16n2 + 4n2 + -1n3 + 16n3 + -4n4 + (-4n4 + n5))(-5 + n) = 0

Combine like terms: -12n + -64n = -76n
(48 + -76n + 16n2 + 4n2 + -1n3 + 16n3 + -4n4 + -4n4 + n5)(-5 + n) = 0

Combine like terms: 16n2 + 4n2 = 20n2
(48 + -76n + 20n2 + -1n3 + 16n3 + -4n4 + -4n4 + n5)(-5 + n) = 0

Combine like terms: -1n3 + 16n3 = 15n3
(48 + -76n + 20n2 + 15n3 + -4n4 + -4n4 + n5)(-5 + n) = 0

Combine like terms: -4n4 + -4n4 = -8n4
(48 + -76n + 20n2 + 15n3 + -8n4 + n5)(-5 + n) = 0

Multiply (48 + -76n + 20n2 + 15n3 + -8n4 + n5) * (-5 + n)
(48(-5 + n) + -76n * (-5 + n) + 20n2 * (-5 + n) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
((-5 * 48 + n * 48) + -76n * (-5 + n) + 20n2 * (-5 + n) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
((-240 + 48n) + -76n * (-5 + n) + 20n2 * (-5 + n) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
(-240 + 48n + (-5 * -76n + n * -76n) + 20n2 * (-5 + n) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
(-240 + 48n + (380n + -76n2) + 20n2 * (-5 + n) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
(-240 + 48n + 380n + -76n2 + (-5 * 20n2 + n * 20n2) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
(-240 + 48n + 380n + -76n2 + (-100n2 + 20n3) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
(-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + (-5 * 15n3 + n * 15n3) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
(-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + (-75n3 + 15n4) + -8n4 * (-5 + n) + n5(-5 + n)) = 0
(-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + (-5 * -8n4 + n * -8n4) + n5(-5 + n)) = 0
(-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + (40n4 + -8n5) + n5(-5 + n)) = 0
(-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + 40n4 + -8n5 + (-5 * n5 + n * n5)) = 0
(-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + 40n4 + -8n5 + (-5n5 + n6)) = 0

Combine like terms: 48n + 380n = 428n
(-240 + 428n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + 40n4 + -8n5 + -5n5 + n6) = 0

Combine like terms: -76n2 + -100n2 = -176n2
(-240 + 428n + -176n2 + 20n3 + -75n3 + 15n4 + 40n4 + -8n5 + -5n5 + n6) = 0

Combine like terms: 20n3 + -75n3 = -55n3
(-240 + 428n + -176n2 + -55n3 + 15n4 + 40n4 + -8n5 + -5n5 + n6) = 0

Combine like terms: 15n4 + 40n4 = 55n4
(-240 + 428n + -176n2 + -55n3 + 55n4 + -8n5 + -5n5 + n6) = 0

Combine like terms: -8n5 + -5n5 = -13n5
(-240 + 428n + -176n2 + -55n3 + 55n4 + -13n5 + n6) = 0

Solving
-240 + 428n + -176n2 + -55n3 + 55n4 + -13n5 + n6 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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