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Simplifying (n + 2)(n + -1)(n + -2)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8) = 0 Reorder the terms: (2 + n)(n + -1)(n + -2)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8) = 0 Reorder the terms: (2 + n)(-1 + n)(n + -2)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8) = 0 Reorder the terms: (2 + n)(-1 + n)(-2 + n)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8) = 0 Reorder the terms: (2 + n)(-1 + n)(-2 + n)(-3 + n)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8) = 0 Reorder the terms: (2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(n + -5)(n + -6)(n + -7)(n + -8) = 0 Reorder the terms: (2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(n + -6)(n + -7)(n + -8) = 0 Reorder the terms: (2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(n + -7)(n + -8) = 0 Reorder the terms: (2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(n + -8) = 0 Reorder the terms: (2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + 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)(-8 + n) = 0 ((-1 * 2 + n * 2) + n(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 ((-2 + 2n) + n(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (-2 + 2n + (-1 * n + n * n))(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (-2 + 2n + (-1n + n2))(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: 2n + -1n = 1n (-2 + 1n + n2)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + 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)(-8 + n) = 0 ((-2 * -2 + n * -2) + 1n * (-2 + n) + n2(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 ((4 + -2n) + 1n * (-2 + n) + n2(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (4 + -2n + (-2 * 1n + n * 1n) + n2(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (4 + -2n + (-2n + 1n2) + n2(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (4 + -2n + -2n + 1n2 + (-2 * n2 + n * n2))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (4 + -2n + -2n + 1n2 + (-2n2 + n3))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: -2n + -2n = -4n (4 + -4n + 1n2 + -2n2 + n3)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: 1n2 + -2n2 = -1n2 (4 + -4n + -1n2 + n3)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + 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)(-8 + n) = 0 ((-3 * 4 + n * 4) + -4n * (-3 + n) + -1n2 * (-3 + n) + n3(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 ((-12 + 4n) + -4n * (-3 + n) + -1n2 * (-3 + n) + n3(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (-12 + 4n + (-3 * -4n + n * -4n) + -1n2 * (-3 + n) + n3(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (-12 + 4n + (12n + -4n2) + -1n2 * (-3 + n) + n3(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (-12 + 4n + 12n + -4n2 + (-3 * -1n2 + n * -1n2) + n3(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (-12 + 4n + 12n + -4n2 + (3n2 + -1n3) + n3(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (-12 + 4n + 12n + -4n2 + 3n2 + -1n3 + (-3 * n3 + n * n3))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (-12 + 4n + 12n + -4n2 + 3n2 + -1n3 + (-3n3 + n4))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: 4n + 12n = 16n (-12 + 16n + -4n2 + 3n2 + -1n3 + -3n3 + n4)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: -4n2 + 3n2 = -1n2 (-12 + 16n + -1n2 + -1n3 + -3n3 + n4)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: -1n3 + -3n3 = -4n3 (-12 + 16n + -1n2 + -4n3 + n4)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + 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)(-8 + n) = 0 ((-4 * -12 + n * -12) + 16n * (-4 + n) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 ((48 + -12n) + 16n * (-4 + n) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (48 + -12n + (-4 * 16n + n * 16n) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (48 + -12n + (-64n + 16n2) + -1n2 * (-4 + n) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (48 + -12n + -64n + 16n2 + (-4 * -1n2 + n * -1n2) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (48 + -12n + -64n + 16n2 + (4n2 + -1n3) + -4n3 * (-4 + n) + n4(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (48 + -12n + -64n + 16n2 + 4n2 + -1n3 + (-4 * -4n3 + n * -4n3) + n4(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (48 + -12n + -64n + 16n2 + 4n2 + -1n3 + (16n3 + -4n4) + n4(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (48 + -12n + -64n + 16n2 + 4n2 + -1n3 + 16n3 + -4n4 + (-4 * n4 + n * n4))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 (48 + -12n + -64n + 16n2 + 4n2 + -1n3 + 16n3 + -4n4 + (-4n4 + n5))(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: -12n + -64n = -76n (48 + -76n + 16n2 + 4n2 + -1n3 + 16n3 + -4n4 + -4n4 + n5)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: 16n2 + 4n2 = 20n2 (48 + -76n + 20n2 + -1n3 + 16n3 + -4n4 + -4n4 + n5)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: -1n3 + 16n3 = 15n3 (48 + -76n + 20n2 + 15n3 + -4n4 + -4n4 + n5)(-5 + n)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: -4n4 + -4n4 = -8n4 (48 + -76n + 20n2 + 15n3 + -8n4 + n5)(-5 + n)(-6 + n)(-7 + n)(-8 + 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)(-8 + 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)(-8 + n) = 0 ((-240 + 48n) + -76n * (-5 + n) + 20n2 * (-5 + n) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + (-5 * -76n + n * -76n) + 20n2 * (-5 + n) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + (380n + -76n2) + 20n2 * (-5 + n) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + 380n + -76n2 + (-5 * 20n2 + n * 20n2) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + 380n + -76n2 + (-100n2 + 20n3) + 15n3 * (-5 + n) + -8n4 * (-5 + n) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + (-5 * 15n3 + n * 15n3) + -8n4 * (-5 + n) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + (-75n3 + 15n4) + -8n4 * (-5 + n) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + (-5 * -8n4 + n * -8n4) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + (40n4 + -8n5) + n5(-5 + n))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + 40n4 + -8n5 + (-5 * n5 + n * n5))(-6 + n)(-7 + n)(-8 + n) = 0 (-240 + 48n + 380n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + 40n4 + -8n5 + (-5n5 + n6))(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: 48n + 380n = 428n (-240 + 428n + -76n2 + -100n2 + 20n3 + -75n3 + 15n4 + 40n4 + -8n5 + -5n5 + n6)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: -76n2 + -100n2 = -176n2 (-240 + 428n + -176n2 + 20n3 + -75n3 + 15n4 + 40n4 + -8n5 + -5n5 + n6)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: 20n3 + -75n3 = -55n3 (-240 + 428n + -176n2 + -55n3 + 15n4 + 40n4 + -8n5 + -5n5 + n6)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: 15n4 + 40n4 = 55n4 (-240 + 428n + -176n2 + -55n3 + 55n4 + -8n5 + -5n5 + n6)(-6 + n)(-7 + n)(-8 + n) = 0 Combine like terms: -8n5 + -5n5 = -13n5 (-240 + 428n + -176n2 + -55n3 + 55n4 + -13n5 + n6)(-6 + n)(-7 + n)(-8 + 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)(-8 + 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)(-8 + n) = 0 ((1440 + -240n) + 428n * (-6 + n) + -176n2 * (-6 + n) + -55n3 * (-6 + n) + 55n4 * (-6 + n) + -13n5 * (-6 + n) + n6(-6 + n))(-7 + n)(-8 + 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)(-8 + n) = 0 (1440 + -240n + (-2568n + 428n2) + -176n2 * (-6 + n) + -55n3 * (-6 + n) + 55n4 * (-6 + n) + -13n5 * (-6 + n) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + (-6 * -176n2 + n * -176n2) + -55n3 * (-6 + n) + 55n4 * (-6 + n) + -13n5 * (-6 + n) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + (1056n2 + -176n3) + -55n3 * (-6 + n) + 55n4 * (-6 + n) + -13n5 * (-6 + n) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + 1056n2 + -176n3 + (-6 * -55n3 + n * -55n3) + 55n4 * (-6 + n) + -13n5 * (-6 + n) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + 1056n2 + -176n3 + (330n3 + -55n4) + 55n4 * (-6 + n) + -13n5 * (-6 + n) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + 1056n2 + -176n3 + 330n3 + -55n4 + (-6 * 55n4 + n * 55n4) + -13n5 * (-6 + n) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + 1056n2 + -176n3 + 330n3 + -55n4 + (-330n4 + 55n5) + -13n5 * (-6 + n) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + 1056n2 + -176n3 + 330n3 + -55n4 + -330n4 + 55n5 + (-6 * -13n5 + n * -13n5) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + 1056n2 + -176n3 + 330n3 + -55n4 + -330n4 + 55n5 + (78n5 + -13n6) + n6(-6 + n))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + 1056n2 + -176n3 + 330n3 + -55n4 + -330n4 + 55n5 + 78n5 + -13n6 + (-6 * n6 + n * n6))(-7 + n)(-8 + n) = 0 (1440 + -240n + -2568n + 428n2 + 1056n2 + -176n3 + 330n3 + -55n4 + -330n4 + 55n5 + 78n5 + -13n6 + (-6n6 + n7))(-7 + n)(-8 + n) = 0 Combine like terms: -240n + -2568n = -2808n (1440 + -2808n + 428n2 + 1056n2 + -176n3 + 330n3 + -55n4 + -330n4 + 55n5 + 78n5 + -13n6 + -6n6 + n7)(-7 + n)(-8 + n) = 0 Combine like terms: 428n2 + 1056n2 = 1484n2 (1440 + -2808n + 1484n2 + -176n3 + 330n3 + -55n4 + -330n4 + 55n5 + 78n5 + -13n6 + -6n6 + n7)(-7 + n)(-8 + n) = 0 Combine like terms: -176n3 + 330n3 = 154n3 (1440 + -2808n + 1484n2 + 154n3 + -55n4 + -330n4 + 55n5 + 78n5 + -13n6 + -6n6 + n7)(-7 + n)(-8 + n) = 0 Combine like terms: -55n4 + -330n4 = -385n4 (1440 + -2808n + 1484n2 + 154n3 + -385n4 + 55n5 + 78n5 + -13n6 + -6n6 + n7)(-7 + n)(-8 + n) = 0 Combine like terms: 55n5 + 78n5 = 133n5 (1440 + -2808n + 1484n2 + 154n3 + -385n4 + 133n5 + -13n6 + -6n6 + n7)(-7 + n)(-8 + n) = 0 Combine like terms: -13n6 + -6n6 = -19n6 (1440 + -2808n + 1484n2 + 154n3 + -385n4 + 133n5 + -19n6 + n7)(-7 + n)(-8 + 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))(-8 + 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))(-8 + 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))(-8 + 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))(-8 + n) = 0 (-10080 + 1440n + (19656n + -2808n2) + 1484n2 * (-7 + n) + 154n3 * (-7 + n) + -385n4 * (-7 + n) + 133n5 * (-7 + n) + -19n6 * (-7 + n) + n7(-7 + n))(-8 + 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))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + (-10388n2 + 1484n3) + 154n3 * (-7 + n) + -385n4 * (-7 + n) + 133n5 * (-7 + n) + -19n6 * (-7 + n) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + (-7 * 154n3 + n * 154n3) + -385n4 * (-7 + n) + 133n5 * (-7 + n) + -19n6 * (-7 + n) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + (-1078n3 + 154n4) + -385n4 * (-7 + n) + 133n5 * (-7 + n) + -19n6 * (-7 + n) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + (-7 * -385n4 + n * -385n4) + 133n5 * (-7 + n) + -19n6 * (-7 + n) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + (2695n4 + -385n5) + 133n5 * (-7 + n) + -19n6 * (-7 + n) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + 2695n4 + -385n5 + (-7 * 133n5 + n * 133n5) + -19n6 * (-7 + n) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + 2695n4 + -385n5 + (-931n5 + 133n6) + -19n6 * (-7 + n) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + 2695n4 + -385n5 + -931n5 + 133n6 + (-7 * -19n6 + n * -19n6) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + 2695n4 + -385n5 + -931n5 + 133n6 + (133n6 + -19n7) + n7(-7 + n))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + 2695n4 + -385n5 + -931n5 + 133n6 + 133n6 + -19n7 + (-7 * n7 + n * n7))(-8 + n) = 0 (-10080 + 1440n + 19656n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + 2695n4 + -385n5 + -931n5 + 133n6 + 133n6 + -19n7 + (-7n7 + n8))(-8 + n) = 0 Combine like terms: 1440n + 19656n = 21096n (-10080 + 21096n + -2808n2 + -10388n2 + 1484n3 + -1078n3 + 154n4 + 2695n4 + -385n5 + -931n5 + 133n6 + 133n6 + -19n7 + -7n7 + n8)(-8 + n) = 0 Combine like terms: -2808n2 + -10388n2 = -13196n2 (-10080 + 21096n + -13196n2 + 1484n3 + -1078n3 + 154n4 + 2695n4 + -385n5 + -931n5 + 133n6 + 133n6 + -19n7 + -7n7 + n8)(-8 + n) = 0 Combine like terms: 1484n3 + -1078n3 = 406n3 (-10080 + 21096n + -13196n2 + 406n3 + 154n4 + 2695n4 + -385n5 + -931n5 + 133n6 + 133n6 + -19n7 + -7n7 + n8)(-8 + n) = 0 Combine like terms: 154n4 + 2695n4 = 2849n4 (-10080 + 21096n + -13196n2 + 406n3 + 2849n4 + -385n5 + -931n5 + 133n6 + 133n6 + -19n7 + -7n7 + n8)(-8 + n) = 0 Combine like terms: -385n5 + -931n5 = -1316n5 (-10080 + 21096n + -13196n2 + 406n3 + 2849n4 + -1316n5 + 133n6 + 133n6 + -19n7 + -7n7 + n8)(-8 + n) = 0 Combine like terms: 133n6 + 133n6 = 266n6 (-10080 + 21096n + -13196n2 + 406n3 + 2849n4 + -1316n5 + 266n6 + -19n7 + -7n7 + n8)(-8 + n) = 0 Combine like terms: -19n7 + -7n7 = -26n7 (-10080 + 21096n + -13196n2 + 406n3 + 2849n4 + -1316n5 + 266n6 + -26n7 + n8)(-8 + n) = 0 Multiply (-10080 + 21096n + -13196n2 + 406n3 + 2849n4 + -1316n5 + 266n6 + -26n7 + n8) * (-8 + n) (-10080(-8 + n) + 21096n * (-8 + n) + -13196n2 * (-8 + n) + 406n3 * (-8 + n) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 ((-8 * -10080 + n * -10080) + 21096n * (-8 + n) + -13196n2 * (-8 + n) + 406n3 * (-8 + n) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 ((80640 + -10080n) + 21096n * (-8 + n) + -13196n2 * (-8 + n) + 406n3 * (-8 + n) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + (-8 * 21096n + n * 21096n) + -13196n2 * (-8 + n) + 406n3 * (-8 + n) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + (-168768n + 21096n2) + -13196n2 * (-8 + n) + 406n3 * (-8 + n) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + (-8 * -13196n2 + n * -13196n2) + 406n3 * (-8 + n) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + (105568n2 + -13196n3) + 406n3 * (-8 + n) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + (-8 * 406n3 + n * 406n3) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + (-3248n3 + 406n4) + 2849n4 * (-8 + n) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + (-8 * 2849n4 + n * 2849n4) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + (-22792n4 + 2849n5) + -1316n5 * (-8 + n) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + (-8 * -1316n5 + n * -1316n5) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + (10528n5 + -1316n6) + 266n6 * (-8 + n) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + (-8 * 266n6 + n * 266n6) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + (-2128n6 + 266n7) + -26n7 * (-8 + n) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + -2128n6 + 266n7 + (-8 * -26n7 + n * -26n7) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + -2128n6 + 266n7 + (208n7 + -26n8) + n8(-8 + n)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + -2128n6 + 266n7 + 208n7 + -26n8 + (-8 * n8 + n * n8)) = 0 (80640 + -10080n + -168768n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + -2128n6 + 266n7 + 208n7 + -26n8 + (-8n8 + n9)) = 0 Combine like terms: -10080n + -168768n = -178848n (80640 + -178848n + 21096n2 + 105568n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + -2128n6 + 266n7 + 208n7 + -26n8 + -8n8 + n9) = 0 Combine like terms: 21096n2 + 105568n2 = 126664n2 (80640 + -178848n + 126664n2 + -13196n3 + -3248n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + -2128n6 + 266n7 + 208n7 + -26n8 + -8n8 + n9) = 0 Combine like terms: -13196n3 + -3248n3 = -16444n3 (80640 + -178848n + 126664n2 + -16444n3 + 406n4 + -22792n4 + 2849n5 + 10528n5 + -1316n6 + -2128n6 + 266n7 + 208n7 + -26n8 + -8n8 + n9) = 0 Combine like terms: 406n4 + -22792n4 = -22386n4 (80640 + -178848n + 126664n2 + -16444n3 + -22386n4 + 2849n5 + 10528n5 + -1316n6 + -2128n6 + 266n7 + 208n7 + -26n8 + -8n8 + n9) = 0 Combine like terms: 2849n5 + 10528n5 = 13377n5 (80640 + -178848n + 126664n2 + -16444n3 + -22386n4 + 13377n5 + -1316n6 + -2128n6 + 266n7 + 208n7 + -26n8 + -8n8 + n9) = 0 Combine like terms: -1316n6 + -2128n6 = -3444n6 (80640 + -178848n + 126664n2 + -16444n3 + -22386n4 + 13377n5 + -3444n6 + 266n7 + 208n7 + -26n8 + -8n8 + n9) = 0 Combine like terms: 266n7 + 208n7 = 474n7 (80640 + -178848n + 126664n2 + -16444n3 + -22386n4 + 13377n5 + -3444n6 + 474n7 + -26n8 + -8n8 + n9) = 0 Combine like terms: -26n8 + -8n8 = -34n8 (80640 + -178848n + 126664n2 + -16444n3 + -22386n4 + 13377n5 + -3444n6 + 474n7 + -34n8 + n9) = 0 Solving 80640 + -178848n + 126664n2 + -16444n3 + -22386n4 + 13377n5 + -3444n6 + 474n7 + -34n8 + n9 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
| 7a+a-2a+3ab-ab+2ab= | | -2-4x=2 | | 4m+19=5m+13 | | 9(x+10)=9x+90 | | 3x+10=-9x-18 | | -6+3(2x-8)=-15 | | f(x+4)= | | 3x+10=3x-18 | | 2r+4ry-5r+3x-4ry= | | 3x+4=-22 | | f(x-4)= | | 3x*(3x+7)= | | f(x+5)= | | 9(x+2)=9(x+13) | | -9(5v+8)=7(-5v+4) | | 9x-2=9x-2 | | 16c^2-625=0 | | 14-2x=5x-7 | | (3+n)(2+n)(n-1)(n-2)(n-3)(n-4)(n-5)(n-6)(n-7)=0 | | 9x-2=18x-2 | | -k^2+16k+28=0 | | 12x(x+1)=-3 | | 4x-36=6-3x | | 2x+(25-x)*5=80 | | (5x-3)(2x+3)=0 | | 4n-7=2n | | 4(3x-7)=x+11 | | a=.5(b)(h) | | k^2-16k-28=0 | | (4+n)(3+n)(2+n)(n-1)(n-2)(n-3)(n-4)(n-5)(n-6)=0 | | 28-7y=49 | | 6w^2-5-29w= |