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

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

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

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

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

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

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

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

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

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

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

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

Multiply (-2 + 1n + n²) * (-2 + n)
(-2(-2 + n) + 1n * (-2 + n) + n²(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
((-2 * -2 + n * -2) + 1n * (-2 + n) + n²(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
((4 + -2n) + 1n * (-2 + n) + n²(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(4 + -2n + (-2 * 1n + n * 1n) + n²(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(4 + -2n + (-2n + 1n²) + n²(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(4 + -2n + -2n + 1n² + (-2 * n² + n * n²))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(4 + -2n + -2n + 1n² + (-2n² + n³))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -2n + -2n = -4n
(4 + -4n + 1n² + -2n² + n³)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: 1n² + -2n² = -1n²
(4 + -4n + -1n² + n³)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + 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)(-6 + n)(-7 + n) = 0
((-3 * 4 + n * 4) + -4n * (-3 + n) + -1n² * (-3 + n) + n³(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
((-12 + 4n) + -4n * (-3 + n) + -1n² * (-3 + n) + n³(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-12 + 4n + (-3 * -4n + n * -4n) + -1n² * (-3 + n) + n³(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-12 + 4n + (12n + -4n²) + -1n² * (-3 + n) + n³(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-12 + 4n + 12n + -4n² + (-3 * -1n² + n * -1n²) + n³(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-12 + 4n + 12n + -4n² + (3n² + -1n³) + n³(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-12 + 4n + 12n + -4n² + 3n² + -1n³ + (-3 * n³ + n * n³))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-12 + 4n + 12n + -4n² + 3n² + -1n³ + (-3n³ + n⁴))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: 4n + 12n = 16n
(-12 + 16n + -4n² + 3n² + -1n³ + -3n³ + n⁴)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -4n² + 3n² = -1n²
(-12 + 16n + -1n² + -1n³ + -3n³ + n⁴)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -1n³ + -3n³ = -4n³
(-12 + 16n + -1n² + -4n³ + n⁴)(-4 + n)(-5 + n)(-6 + n)(-7 + 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)(-6 + n)(-7 + n) = 0
((-4 * -12 + n * -12) + 16n * (-4 + n) + -1n² * (-4 + n) + -4n³ * (-4 + n) + n⁴(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
((48 + -12n) + 16n * (-4 + n) + -1n² * (-4 + n) + -4n³ * (-4 + n) + n⁴(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(48 + -12n + (-4 * 16n + n * 16n) + -1n² * (-4 + n) + -4n³ * (-4 + n) + n⁴(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(48 + -12n + (-64n + 16n²) + -1n² * (-4 + n) + -4n³ * (-4 + n) + n⁴(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(48 + -12n + -64n + 16n² + (-4 * -1n² + n * -1n²) + -4n³ * (-4 + n) + n⁴(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(48 + -12n + -64n + 16n² + (4n² + -1n³) + -4n³ * (-4 + n) + n⁴(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(48 + -12n + -64n + 16n² + 4n² + -1n³ + (-4 * -4n³ + n * -4n³) + n⁴(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(48 + -12n + -64n + 16n² + 4n² + -1n³ + (16n³ + -4n⁴) + n⁴(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(48 + -12n + -64n + 16n² + 4n² + -1n³ + 16n³ + -4n⁴ + (-4 * n⁴ + n * n⁴))(-5 + n)(-6 + n)(-7 + n) = 0
(48 + -12n + -64n + 16n² + 4n² + -1n³ + 16n³ + -4n⁴ + (-4n⁴ + n⁵))(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -12n + -64n = -76n
(48 + -76n + 16n² + 4n² + -1n³ + 16n³ + -4n⁴ + -4n⁴ + n⁵)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: 16n² + 4n² = 20n²
(48 + -76n + 20n² + -1n³ + 16n³ + -4n⁴ + -4n⁴ + n⁵)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -1n³ + 16n³ = 15n³
(48 + -76n + 20n² + 15n³ + -4n⁴ + -4n⁴ + n⁵)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -4n⁴ + -4n⁴ = -8n⁴
(48 + -76n + 20n² + 15n³ + -8n⁴ + n⁵)(-5 + n)(-6 + n)(-7 + 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))(-6 + n)(-7 + n) = 0
((-5 * 48 + n * 48) + -76n * (-5 + n) + 20n² * (-5 + n) + 15n³ * (-5 + n) + -8n⁴ * (-5 + n) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
((-240 + 48n) + -76n * (-5 + n) + 20n² * (-5 + n) + 15n³ * (-5 + n) + -8n⁴ * (-5 + n) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + (-5 * -76n + n * -76n) + 20n² * (-5 + n) + 15n³ * (-5 + n) + -8n⁴ * (-5 + n) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + (380n + -76n²) + 20n² * (-5 + n) + 15n³ * (-5 + n) + -8n⁴ * (-5 + n) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + 380n + -76n² + (-5 * 20n² + n * 20n²) + 15n³ * (-5 + n) + -8n⁴ * (-5 + n) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + 380n + -76n² + (-100n² + 20n³) + 15n³ * (-5 + n) + -8n⁴ * (-5 + n) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + 380n + -76n² + -100n² + 20n³ + (-5 * 15n³ + n * 15n³) + -8n⁴ * (-5 + n) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + 380n + -76n² + -100n² + 20n³ + (-75n³ + 15n⁴) + -8n⁴ * (-5 + n) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + 380n + -76n² + -100n² + 20n³ + -75n³ + 15n⁴ + (-5 * -8n⁴ + n * -8n⁴) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + 380n + -76n² + -100n² + 20n³ + -75n³ + 15n⁴ + (40n⁴ + -8n⁵) + n⁵(-5 + n))(-6 + n)(-7 + n) = 0
(-240 + 48n + 380n + -76n² + -100n² + 20n³ + -75n³ + 15n⁴ + 40n⁴ + -8n⁵ + (-5 * n⁵ + n * n⁵))(-6 + n)(-7 + n) = 0
(-240 + 48n + 380n + -76n² + -100n² + 20n³ + -75n³ + 15n⁴ + 40n⁴ + -8n⁵ + (-5n⁵ + n⁶))(-6 + n)(-7 + n) = 0

Combine like terms: 48n + 380n = 428n
(-240 + 428n + -76n² + -100n² + 20n³ + -75n³ + 15n⁴ + 40n⁴ + -8n⁵ + -5n⁵ + n⁶)(-6 + n)(-7 + n) = 0

Combine like terms: -76n² + -100n² = -176n²
(-240 + 428n + -176n² + 20n³ + -75n³ + 15n⁴ + 40n⁴ + -8n⁵ + -5n⁵ + n⁶)(-6 + n)(-7 + n) = 0

Combine like terms: 20n³ + -75n³ = -55n³
(-240 + 428n + -176n² + -55n³ + 15n⁴ + 40n⁴ + -8n⁵ + -5n⁵ + n⁶)(-6 + n)(-7 + n) = 0

Combine like terms: 15n⁴ + 40n⁴ = 55n⁴
(-240 + 428n + -176n² + -55n³ + 55n⁴ + -8n⁵ + -5n⁵ + n⁶)(-6 + n)(-7 + n) = 0

Combine like terms: -8n⁵ + -5n⁵ = -13n⁵
(-240 + 428n + -176n² + -55n³ + 55n⁴ + -13n⁵ + n⁶)(-6 + n)(-7 + n) = 0

Multiply (-240 + 428n + -176n² + -55n³ + 55n⁴ + -13n⁵ + n⁶) * (-6 + n)
(-240(-6 + n) + 428n * (-6 + n) + -176n² * (-6 + n) + -55n³ * (-6 + n) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
((-6 * -240 + n * -240) + 428n * (-6 + n) + -176n² * (-6 + n) + -55n³ * (-6 + n) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
((1440 + -240n) + 428n * (-6 + n) + -176n² * (-6 + n) + -55n³ * (-6 + n) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + (-6 * 428n + n * 428n) + -176n² * (-6 + n) + -55n³ * (-6 + n) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + (-2568n + 428n²) + -176n² * (-6 + n) + -55n³ * (-6 + n) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + (-6 * -176n² + n * -176n²) + -55n³ * (-6 + n) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + (1056n² + -176n³) + -55n³ * (-6 + n) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + 1056n² + -176n³ + (-6 * -55n³ + n * -55n³) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + 1056n² + -176n³ + (330n³ + -55n⁴) + 55n⁴ * (-6 + n) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + 1056n² + -176n³ + 330n³ + -55n⁴ + (-6 * 55n⁴ + n * 55n⁴) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + 1056n² + -176n³ + 330n³ + -55n⁴ + (-330n⁴ + 55n⁵) + -13n⁵ * (-6 + n) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + 1056n² + -176n³ + 330n³ + -55n⁴ + -330n⁴ + 55n⁵ + (-6 * -13n⁵ + n * -13n⁵) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + 1056n² + -176n³ + 330n³ + -55n⁴ + -330n⁴ + 55n⁵ + (78n⁵ + -13n⁶) + n⁶(-6 + n))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + 1056n² + -176n³ + 330n³ + -55n⁴ + -330n⁴ + 55n⁵ + 78n⁵ + -13n⁶ + (-6 * n⁶ + n * n⁶))(-7 + n) = 0
(1440 + -240n + -2568n + 428n² + 1056n² + -176n³ + 330n³ + -55n⁴ + -330n⁴ + 55n⁵ + 78n⁵ + -13n⁶ + (-6n⁶ + n⁷))(-7 + n) = 0

Combine like terms: -240n + -2568n = -2808n
(1440 + -2808n + 428n² + 1056n² + -176n³ + 330n³ + -55n⁴ + -330n⁴ + 55n⁵ + 78n⁵ + -13n⁶ + -6n⁶ + n⁷)(-7 + n) = 0

Combine like terms: 428n² + 1056n² = 1484n²
(1440 + -2808n + 1484n² + -176n³ + 330n³ + -55n⁴ + -330n⁴ + 55n⁵ + 78n⁵ + -13n⁶ + -6n⁶ + n⁷)(-7 + n) = 0

Combine like terms: -176n³ + 330n³ = 154n³
(1440 + -2808n + 1484n² + 154n³ + -55n⁴ + -330n⁴ + 55n⁵ + 78n⁵ + -13n⁶ + -6n⁶ + n⁷)(-7 + n) = 0

Combine like terms: -55n⁴ + -330n⁴ = -385n⁴
(1440 + -2808n + 1484n² + 154n³ + -385n⁴ + 55n⁵ + 78n⁵ + -13n⁶ + -6n⁶ + n⁷)(-7 + n) = 0

Combine like terms: 55n⁵ + 78n⁵ = 133n⁵
(1440 + -2808n + 1484n² + 154n³ + -385n⁴ + 133n⁵ + -13n⁶ + -6n⁶ + n⁷)(-7 + n) = 0

Combine like terms: -13n⁶ + -6n⁶ = -19n⁶
(1440 + -2808n + 1484n² + 154n³ + -385n⁴ + 133n⁵ + -19n⁶ + n⁷)(-7 + n) = 0

Multiply (1440 + -2808n + 1484n² + 154n³ + -385n⁴ + 133n⁵ + -19n⁶ + n⁷) * (-7 + n)
(1440(-7 + n) + -2808n * (-7 + n) + 1484n² * (-7 + n) + 154n³ * (-7 + n) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
((-7 * 1440 + n * 1440) + -2808n * (-7 + n) + 1484n² * (-7 + n) + 154n³ * (-7 + n) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
((-10080 + 1440n) + -2808n * (-7 + n) + 1484n² * (-7 + n) + 154n³ * (-7 + n) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + (-7 * -2808n + n * -2808n) + 1484n² * (-7 + n) + 154n³ * (-7 + n) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + (19656n + -2808n²) + 1484n² * (-7 + n) + 154n³ * (-7 + n) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + (-7 * 1484n² + n * 1484n²) + 154n³ * (-7 + n) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + (-10388n² + 1484n³) + 154n³ * (-7 + n) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + (-7 * 154n³ + n * 154n³) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + (-1078n³ + 154n⁴) + -385n⁴ * (-7 + n) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + (-7 * -385n⁴ + n * -385n⁴) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + (2695n⁴ + -385n⁵) + 133n⁵ * (-7 + n) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + 2695n⁴ + -385n⁵ + (-7 * 133n⁵ + n * 133n⁵) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + 2695n⁴ + -385n⁵ + (-931n⁵ + 133n⁶) + -19n⁶ * (-7 + n) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + 2695n⁴ + -385n⁵ + -931n⁵ + 133n⁶ + (-7 * -19n⁶ + n * -19n⁶) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + 2695n⁴ + -385n⁵ + -931n⁵ + 133n⁶ + (133n⁶ + -19n⁷) + n⁷(-7 + n)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + 2695n⁴ + -385n⁵ + -931n⁵ + 133n⁶ + 133n⁶ + -19n⁷ + (-7 * n⁷ + n * n⁷)) = 0
(-10080 + 1440n + 19656n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + 2695n⁴ + -385n⁵ + -931n⁵ + 133n⁶ + 133n⁶ + -19n⁷ + (-7n⁷ + n⁸)) = 0

Combine like terms: 1440n + 19656n = 21096n
(-10080 + 21096n + -2808n² + -10388n² + 1484n³ + -1078n³ + 154n⁴ + 2695n⁴ + -385n⁵ + -931n⁵ + 133n⁶ + 133n⁶ + -19n⁷ + -7n⁷ + n⁸) = 0

Combine like terms: -2808n² + -10388n² = -13196n²
(-10080 + 21096n + -13196n² + 1484n³ + -1078n³ + 154n⁴ + 2695n⁴ + -385n⁵ + -931n⁵ + 133n⁶ + 133n⁶ + -19n⁷ + -7n⁷ + n⁸) = 0

Combine like terms: 1484n³ + -1078n³ = 406n³
(-10080 + 21096n + -13196n² + 406n³ + 154n⁴ + 2695n⁴ + -385n⁵ + -931n⁵ + 133n⁶ + 133n⁶ + -19n⁷ + -7n⁷ + n⁸) = 0

Combine like terms: 154n⁴ + 2695n⁴ = 2849n⁴
(-10080 + 21096n + -13196n² + 406n³ + 2849n⁴ + -385n⁵ + -931n⁵ + 133n⁶ + 133n⁶ + -19n⁷ + -7n⁷ + n⁸) = 0

Combine like terms: -385n⁵ + -931n⁵ = -1316n⁵
(-10080 + 21096n + -13196n² + 406n³ + 2849n⁴ + -1316n⁵ + 133n⁶ + 133n⁶ + -19n⁷ + -7n⁷ + n⁸) = 0

Combine like terms: 133n⁶ + 133n⁶ = 266n⁶
(-10080 + 21096n + -13196n² + 406n³ + 2849n⁴ + -1316n⁵ + 266n⁶ + -19n⁷ + -7n⁷ + n⁸) = 0

Combine like terms: -19n⁷ + -7n⁷ = -26n⁷
(-10080 + 21096n + -13196n² + 406n³ + 2849n⁴ + -1316n⁵ + 266n⁶ + -26n⁷ + n⁸) = 0

Solving
-10080 + 21096n + -13196n² + 406n³ + 2849n⁴ + -1316n⁵ + 266n⁶ + -26n⁷ + n⁸ = 0

Solving for variable 'n'.

The solution to this equation could not be determined.
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(2+n)(n-1)(n-2)(n-3)(n-4)(n-5)(n-6)(n-7)=0

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

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