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Simplifying (n + -4)(n + -5)(n + -6)(5 + n)(4 + n)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0 Reorder the terms: (-4 + n)(n + -5)(n + -6)(5 + n)(4 + n)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0 Reorder the terms: (-4 + n)(-5 + n)(n + -6)(5 + n)(4 + n)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0 Reorder the terms: (-4 + n)(-5 + n)(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3) = 0 Reorder the terms: (-4 + n)(-5 + n)(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(n + -2)(n + -3) = 0 Reorder the terms: (-4 + n)(-5 + n)(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(n + -3) = 0 Reorder the terms: (-4 + n)(-5 + n)(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Multiply (-4 + n) * (-5 + n) (-4(-5 + n) + n(-5 + n))(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((-5 * -4 + n * -4) + n(-5 + n))(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((20 + -4n) + n(-5 + n))(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (20 + -4n + (-5 * n + n * n))(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (20 + -4n + (-5n + n2))(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -4n + -5n = -9n (20 + -9n + n2)(-6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Multiply (20 + -9n + n2) * (-6 + n) (20(-6 + n) + -9n * (-6 + n) + n2(-6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((-6 * 20 + n * 20) + -9n * (-6 + n) + n2(-6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((-120 + 20n) + -9n * (-6 + n) + n2(-6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-120 + 20n + (-6 * -9n + n * -9n) + n2(-6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-120 + 20n + (54n + -9n2) + n2(-6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-120 + 20n + 54n + -9n2 + (-6 * n2 + n * n2))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-120 + 20n + 54n + -9n2 + (-6n2 + n3))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: 20n + 54n = 74n (-120 + 74n + -9n2 + -6n2 + n3)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -9n2 + -6n2 = -15n2 (-120 + 74n + -15n2 + n3)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Multiply (-120 + 74n + -15n2 + n3) * (5 + n) (-120(5 + n) + 74n * (5 + n) + -15n2 * (5 + n) + n3(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((5 * -120 + n * -120) + 74n * (5 + n) + -15n2 * (5 + n) + n3(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((-600 + -120n) + 74n * (5 + n) + -15n2 * (5 + n) + n3(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-600 + -120n + (5 * 74n + n * 74n) + -15n2 * (5 + n) + n3(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-600 + -120n + (370n + 74n2) + -15n2 * (5 + n) + n3(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-600 + -120n + 370n + 74n2 + (5 * -15n2 + n * -15n2) + n3(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-600 + -120n + 370n + 74n2 + (-75n2 + -15n3) + n3(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-600 + -120n + 370n + 74n2 + -75n2 + -15n3 + (5 * n3 + n * n3))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-600 + -120n + 370n + 74n2 + -75n2 + -15n3 + (5n3 + n4))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -120n + 370n = 250n (-600 + 250n + 74n2 + -75n2 + -15n3 + 5n3 + n4)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: 74n2 + -75n2 = -1n2 (-600 + 250n + -1n2 + -15n3 + 5n3 + n4)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -15n3 + 5n3 = -10n3 (-600 + 250n + -1n2 + -10n3 + n4)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Multiply (-600 + 250n + -1n2 + -10n3 + n4) * (4 + n) (-600(4 + n) + 250n * (4 + n) + -1n2 * (4 + n) + -10n3 * (4 + n) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((4 * -600 + n * -600) + 250n * (4 + n) + -1n2 * (4 + n) + -10n3 * (4 + n) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((-2400 + -600n) + 250n * (4 + n) + -1n2 * (4 + n) + -10n3 * (4 + n) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-2400 + -600n + (4 * 250n + n * 250n) + -1n2 * (4 + n) + -10n3 * (4 + n) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-2400 + -600n + (1000n + 250n2) + -1n2 * (4 + n) + -10n3 * (4 + n) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-2400 + -600n + 1000n + 250n2 + (4 * -1n2 + n * -1n2) + -10n3 * (4 + n) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-2400 + -600n + 1000n + 250n2 + (-4n2 + -1n3) + -10n3 * (4 + n) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-2400 + -600n + 1000n + 250n2 + -4n2 + -1n3 + (4 * -10n3 + n * -10n3) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-2400 + -600n + 1000n + 250n2 + -4n2 + -1n3 + (-40n3 + -10n4) + n4(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-2400 + -600n + 1000n + 250n2 + -4n2 + -1n3 + -40n3 + -10n4 + (4 * n4 + n * n4))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-2400 + -600n + 1000n + 250n2 + -4n2 + -1n3 + -40n3 + -10n4 + (4n4 + n5))(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -600n + 1000n = 400n (-2400 + 400n + 250n2 + -4n2 + -1n3 + -40n3 + -10n4 + 4n4 + n5)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: 250n2 + -4n2 = 246n2 (-2400 + 400n + 246n2 + -1n3 + -40n3 + -10n4 + 4n4 + n5)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -1n3 + -40n3 = -41n3 (-2400 + 400n + 246n2 + -41n3 + -10n4 + 4n4 + n5)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -10n4 + 4n4 = -6n4 (-2400 + 400n + 246n2 + -41n3 + -6n4 + n5)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Multiply (-2400 + 400n + 246n2 + -41n3 + -6n4 + n5) * (3 + n) (-2400(3 + n) + 400n * (3 + n) + 246n2 * (3 + n) + -41n3 * (3 + n) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((3 * -2400 + n * -2400) + 400n * (3 + n) + 246n2 * (3 + n) + -41n3 * (3 + n) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 ((-7200 + -2400n) + 400n * (3 + n) + 246n2 * (3 + n) + -41n3 * (3 + n) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + (3 * 400n + n * 400n) + 246n2 * (3 + n) + -41n3 * (3 + n) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + (1200n + 400n2) + 246n2 * (3 + n) + -41n3 * (3 + n) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + 1200n + 400n2 + (3 * 246n2 + n * 246n2) + -41n3 * (3 + n) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + 1200n + 400n2 + (738n2 + 246n3) + -41n3 * (3 + n) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + 1200n + 400n2 + 738n2 + 246n3 + (3 * -41n3 + n * -41n3) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + 1200n + 400n2 + 738n2 + 246n3 + (-123n3 + -41n4) + -6n4 * (3 + n) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + 1200n + 400n2 + 738n2 + 246n3 + -123n3 + -41n4 + (3 * -6n4 + n * -6n4) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + 1200n + 400n2 + 738n2 + 246n3 + -123n3 + -41n4 + (-18n4 + -6n5) + n5(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + 1200n + 400n2 + 738n2 + 246n3 + -123n3 + -41n4 + -18n4 + -6n5 + (3 * n5 + n * n5))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 (-7200 + -2400n + 1200n + 400n2 + 738n2 + 246n3 + -123n3 + -41n4 + -18n4 + -6n5 + (3n5 + n6))(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -2400n + 1200n = -1200n (-7200 + -1200n + 400n2 + 738n2 + 246n3 + -123n3 + -41n4 + -18n4 + -6n5 + 3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: 400n2 + 738n2 = 1138n2 (-7200 + -1200n + 1138n2 + 246n3 + -123n3 + -41n4 + -18n4 + -6n5 + 3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: 246n3 + -123n3 = 123n3 (-7200 + -1200n + 1138n2 + 123n3 + -41n4 + -18n4 + -6n5 + 3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -41n4 + -18n4 = -59n4 (-7200 + -1200n + 1138n2 + 123n3 + -59n4 + -6n5 + 3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -6n5 + 3n5 = -3n5 (-7200 + -1200n + 1138n2 + 123n3 + -59n4 + -3n5 + n6)(2 + n)(-1 + n)(-2 + n)(-3 + n) = 0 Multiply (-7200 + -1200n + 1138n2 + 123n3 + -59n4 + -3n5 + n6) * (2 + n) (-7200(2 + n) + -1200n * (2 + n) + 1138n2 * (2 + n) + 123n3 * (2 + n) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 ((2 * -7200 + n * -7200) + -1200n * (2 + n) + 1138n2 * (2 + n) + 123n3 * (2 + n) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 ((-14400 + -7200n) + -1200n * (2 + n) + 1138n2 * (2 + n) + 123n3 * (2 + n) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + (2 * -1200n + n * -1200n) + 1138n2 * (2 + n) + 123n3 * (2 + n) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + (-2400n + -1200n2) + 1138n2 * (2 + n) + 123n3 * (2 + n) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + (2 * 1138n2 + n * 1138n2) + 123n3 * (2 + n) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + (2276n2 + 1138n3) + 123n3 * (2 + n) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + 2276n2 + 1138n3 + (2 * 123n3 + n * 123n3) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + 2276n2 + 1138n3 + (246n3 + 123n4) + -59n4 * (2 + n) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + 2276n2 + 1138n3 + 246n3 + 123n4 + (2 * -59n4 + n * -59n4) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + 2276n2 + 1138n3 + 246n3 + 123n4 + (-118n4 + -59n5) + -3n5 * (2 + n) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + 2276n2 + 1138n3 + 246n3 + 123n4 + -118n4 + -59n5 + (2 * -3n5 + n * -3n5) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + 2276n2 + 1138n3 + 246n3 + 123n4 + -118n4 + -59n5 + (-6n5 + -3n6) + n6(2 + n))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + 2276n2 + 1138n3 + 246n3 + 123n4 + -118n4 + -59n5 + -6n5 + -3n6 + (2 * n6 + n * n6))(-1 + n)(-2 + n)(-3 + n) = 0 (-14400 + -7200n + -2400n + -1200n2 + 2276n2 + 1138n3 + 246n3 + 123n4 + -118n4 + -59n5 + -6n5 + -3n6 + (2n6 + n7))(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -7200n + -2400n = -9600n (-14400 + -9600n + -1200n2 + 2276n2 + 1138n3 + 246n3 + 123n4 + -118n4 + -59n5 + -6n5 + -3n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -1200n2 + 2276n2 = 1076n2 (-14400 + -9600n + 1076n2 + 1138n3 + 246n3 + 123n4 + -118n4 + -59n5 + -6n5 + -3n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: 1138n3 + 246n3 = 1384n3 (-14400 + -9600n + 1076n2 + 1384n3 + 123n4 + -118n4 + -59n5 + -6n5 + -3n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: 123n4 + -118n4 = 5n4 (-14400 + -9600n + 1076n2 + 1384n3 + 5n4 + -59n5 + -6n5 + -3n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -59n5 + -6n5 = -65n5 (-14400 + -9600n + 1076n2 + 1384n3 + 5n4 + -65n5 + -3n6 + 2n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0 Combine like terms: -3n6 + 2n6 = -1n6 (-14400 + -9600n + 1076n2 + 1384n3 + 5n4 + -65n5 + -1n6 + n7)(-1 + n)(-2 + n)(-3 + n) = 0 Multiply (-14400 + -9600n + 1076n2 + 1384n3 + 5n4 + -65n5 + -1n6 + n7) * (-1 + n) (-14400(-1 + n) + -9600n * (-1 + n) + 1076n2 * (-1 + n) + 1384n3 * (-1 + n) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 ((-1 * -14400 + n * -14400) + -9600n * (-1 + n) + 1076n2 * (-1 + n) + 1384n3 * (-1 + n) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 ((14400 + -14400n) + -9600n * (-1 + n) + 1076n2 * (-1 + n) + 1384n3 * (-1 + n) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + (-1 * -9600n + n * -9600n) + 1076n2 * (-1 + n) + 1384n3 * (-1 + n) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + (9600n + -9600n2) + 1076n2 * (-1 + n) + 1384n3 * (-1 + n) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + (-1 * 1076n2 + n * 1076n2) + 1384n3 * (-1 + n) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + (-1076n2 + 1076n3) + 1384n3 * (-1 + n) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + (-1 * 1384n3 + n * 1384n3) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + (-1384n3 + 1384n4) + 5n4 * (-1 + n) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + (-1 * 5n4 + n * 5n4) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + (-5n4 + 5n5) + -65n5 * (-1 + n) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + -5n4 + 5n5 + (-1 * -65n5 + n * -65n5) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + -5n4 + 5n5 + (65n5 + -65n6) + -1n6 * (-1 + n) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + -5n4 + 5n5 + 65n5 + -65n6 + (-1 * -1n6 + n * -1n6) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + -5n4 + 5n5 + 65n5 + -65n6 + (1n6 + -1n7) + n7(-1 + n))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + -5n4 + 5n5 + 65n5 + -65n6 + 1n6 + -1n7 + (-1 * n7 + n * n7))(-2 + n)(-3 + n) = 0 (14400 + -14400n + 9600n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + -5n4 + 5n5 + 65n5 + -65n6 + 1n6 + -1n7 + (-1n7 + n8))(-2 + n)(-3 + n) = 0 Combine like terms: -14400n + 9600n = -4800n (14400 + -4800n + -9600n2 + -1076n2 + 1076n3 + -1384n3 + 1384n4 + -5n4 + 5n5 + 65n5 + -65n6 + 1n6 + -1n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0 Combine like terms: -9600n2 + -1076n2 = -10676n2 (14400 + -4800n + -10676n2 + 1076n3 + -1384n3 + 1384n4 + -5n4 + 5n5 + 65n5 + -65n6 + 1n6 + -1n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0 Combine like terms: 1076n3 + -1384n3 = -308n3 (14400 + -4800n + -10676n2 + -308n3 + 1384n4 + -5n4 + 5n5 + 65n5 + -65n6 + 1n6 + -1n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0 Combine like terms: 1384n4 + -5n4 = 1379n4 (14400 + -4800n + -10676n2 + -308n3 + 1379n4 + 5n5 + 65n5 + -65n6 + 1n6 + -1n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0 Combine like terms: 5n5 + 65n5 = 70n5 (14400 + -4800n + -10676n2 + -308n3 + 1379n4 + 70n5 + -65n6 + 1n6 + -1n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0 Combine like terms: -65n6 + 1n6 = -64n6 (14400 + -4800n + -10676n2 + -308n3 + 1379n4 + 70n5 + -64n6 + -1n7 + -1n7 + n8)(-2 + n)(-3 + n) = 0 Combine like terms: -1n7 + -1n7 = -2n7 (14400 + -4800n + -10676n2 + -308n3 + 1379n4 + 70n5 + -64n6 + -2n7 + n8)(-2 + n)(-3 + n) = 0 Multiply (14400 + -4800n + -10676n2 + -308n3 + 1379n4 + 70n5 + -64n6 + -2n7 + n8) * (-2 + n) (14400(-2 + n) + -4800n * (-2 + n) + -10676n2 * (-2 + n) + -308n3 * (-2 + n) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 ((-2 * 14400 + n * 14400) + -4800n * (-2 + n) + -10676n2 * (-2 + n) + -308n3 * (-2 + n) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 ((-28800 + 14400n) + -4800n * (-2 + n) + -10676n2 * (-2 + n) + -308n3 * (-2 + n) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + (-2 * -4800n + n * -4800n) + -10676n2 * (-2 + n) + -308n3 * (-2 + n) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + (9600n + -4800n2) + -10676n2 * (-2 + n) + -308n3 * (-2 + n) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + (-2 * -10676n2 + n * -10676n2) + -308n3 * (-2 + n) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + (21352n2 + -10676n3) + -308n3 * (-2 + n) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + (-2 * -308n3 + n * -308n3) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + (616n3 + -308n4) + 1379n4 * (-2 + n) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + (-2 * 1379n4 + n * 1379n4) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + (-2758n4 + 1379n5) + 70n5 * (-2 + n) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + (-2 * 70n5 + n * 70n5) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + (-140n5 + 70n6) + -64n6 * (-2 + n) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + (-2 * -64n6 + n * -64n6) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + (128n6 + -64n7) + -2n7 * (-2 + n) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + 128n6 + -64n7 + (-2 * -2n7 + n * -2n7) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + 128n6 + -64n7 + (4n7 + -2n8) + n8(-2 + n))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + 128n6 + -64n7 + 4n7 + -2n8 + (-2 * n8 + n * n8))(-3 + n) = 0 (-28800 + 14400n + 9600n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + 128n6 + -64n7 + 4n7 + -2n8 + (-2n8 + n9))(-3 + n) = 0 Combine like terms: 14400n + 9600n = 24000n (-28800 + 24000n + -4800n2 + 21352n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + 128n6 + -64n7 + 4n7 + -2n8 + -2n8 + n9)(-3 + n) = 0 Combine like terms: -4800n2 + 21352n2 = 16552n2 (-28800 + 24000n + 16552n2 + -10676n3 + 616n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + 128n6 + -64n7 + 4n7 + -2n8 + -2n8 + n9)(-3 + n) = 0 Combine like terms: -10676n3 + 616n3 = -10060n3 (-28800 + 24000n + 16552n2 + -10060n3 + -308n4 + -2758n4 + 1379n5 + -140n5 + 70n6 + 128n6 + -64n7 + 4n7 + -2n8 + -2n8 + n9)(-3 + n) = 0 Combine like terms: -308n4 + -2758n4 = -3066n4 (-28800 + 24000n + 16552n2 + -10060n3 + -3066n4 + 1379n5 + -140n5 + 70n6 + 128n6 + -64n7 + 4n7 + -2n8 + -2n8 + n9)(-3 + n) = 0 Combine like terms: 1379n5 + -140n5 = 1239n5 (-28800 + 24000n + 16552n2 + -10060n3 + -3066n4 + 1239n5 + 70n6 + 128n6 + -64n7 + 4n7 + -2n8 + -2n8 + n9)(-3 + n) = 0 Combine like terms: 70n6 + 128n6 = 198n6 (-28800 + 24000n + 16552n2 + -10060n3 + -3066n4 + 1239n5 + 198n6 + -64n7 + 4n7 + -2n8 + -2n8 + n9)(-3 + n) = 0 Combine like terms: -64n7 + 4n7 = -60n7 (-28800 + 24000n + 16552n2 + -10060n3 + -3066n4 + 1239n5 + 198n6 + -60n7 + -2n8 + -2n8 + n9)(-3 + n) = 0 Combine like terms: -2n8 + -2n8 = -4n8 (-28800 + 24000n + 16552n2 + -10060n3 + -3066n4 + 1239n5 + 198n6 + -60n7 + -4n8 + n9)(-3 + n) = 0 Multiply (-28800 + 24000n + 16552n2 + -10060n3 + -3066n4 + 1239n5 + 198n6 + -60n7 + -4n8 + n9) * (-3 + n) (-28800(-3 + n) + 24000n * (-3 + n) + 16552n2 * (-3 + n) + -10060n3 * (-3 + n) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 ((-3 * -28800 + n * -28800) + 24000n * (-3 + n) + 16552n2 * (-3 + n) + -10060n3 * (-3 + n) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 ((86400 + -28800n) + 24000n * (-3 + n) + 16552n2 * (-3 + n) + -10060n3 * (-3 + n) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + (-3 * 24000n + n * 24000n) + 16552n2 * (-3 + n) + -10060n3 * (-3 + n) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + (-72000n + 24000n2) + 16552n2 * (-3 + n) + -10060n3 * (-3 + n) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + (-3 * 16552n2 + n * 16552n2) + -10060n3 * (-3 + n) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + (-49656n2 + 16552n3) + -10060n3 * (-3 + n) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + (-3 * -10060n3 + n * -10060n3) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + (30180n3 + -10060n4) + -3066n4 * (-3 + n) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + (-3 * -3066n4 + n * -3066n4) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + (9198n4 + -3066n5) + 1239n5 * (-3 + n) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + (-3 * 1239n5 + n * 1239n5) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + (-3717n5 + 1239n6) + 198n6 * (-3 + n) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + (-3 * 198n6 + n * 198n6) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + (-594n6 + 198n7) + -60n7 * (-3 + n) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + (-3 * -60n7 + n * -60n7) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + (180n7 + -60n8) + -4n8 * (-3 + n) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + (-3 * -4n8 + n * -4n8) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + (12n8 + -4n9) + n9(-3 + n)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + 12n8 + -4n9 + (-3 * n9 + n * n9)) = 0 (86400 + -28800n + -72000n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + 12n8 + -4n9 + (-3n9 + n10)) = 0 Combine like terms: -28800n + -72000n = -100800n (86400 + -100800n + 24000n2 + -49656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + 12n8 + -4n9 + -3n9 + n10) = 0 Combine like terms: 24000n2 + -49656n2 = -25656n2 (86400 + -100800n + -25656n2 + 16552n3 + 30180n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + 12n8 + -4n9 + -3n9 + n10) = 0 Combine like terms: 16552n3 + 30180n3 = 46732n3 (86400 + -100800n + -25656n2 + 46732n3 + -10060n4 + 9198n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + 12n8 + -4n9 + -3n9 + n10) = 0 Combine like terms: -10060n4 + 9198n4 = -862n4 (86400 + -100800n + -25656n2 + 46732n3 + -862n4 + -3066n5 + -3717n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + 12n8 + -4n9 + -3n9 + n10) = 0 Combine like terms: -3066n5 + -3717n5 = -6783n5 (86400 + -100800n + -25656n2 + 46732n3 + -862n4 + -6783n5 + 1239n6 + -594n6 + 198n7 + 180n7 + -60n8 + 12n8 + -4n9 + -3n9 + n10) = 0 Combine like terms: 1239n6 + -594n6 = 645n6 (86400 + -100800n + -25656n2 + 46732n3 + -862n4 + -6783n5 + 645n6 + 198n7 + 180n7 + -60n8 + 12n8 + -4n9 + -3n9 + n10) = 0 Combine like terms: 198n7 + 180n7 = 378n7 (86400 + -100800n + -25656n2 + 46732n3 + -862n4 + -6783n5 + 645n6 + 378n7 + -60n8 + 12n8 + -4n9 + -3n9 + n10) = 0 Combine like terms: -60n8 + 12n8 = -48n8 (86400 + -100800n + -25656n2 + 46732n3 + -862n4 + -6783n5 + 645n6 + 378n7 + -48n8 + -4n9 + -3n9 + n10) = 0 Combine like terms: -4n9 + -3n9 = -7n9 (86400 + -100800n + -25656n2 + 46732n3 + -862n4 + -6783n5 + 645n6 + 378n7 + -48n8 + -7n9 + n10) = 0 Solving 86400 + -100800n + -25656n2 + 46732n3 + -862n4 + -6783n5 + 645n6 + 378n7 + -48n8 + -7n9 + n10 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
| 6x-20.00=20 | | x^2-5.5x-42=0 | | (q-9)*3=15 | | (e+1)*5=30 | | (e+3)*2=8 | | ln(x)*ln(x)=e | | ln(x)= | | 9.5-.075x=20 | | 5x+=3x+7 | | -51+13x=14x-22 | | -2x+18=6(1-2x)+4x | | 6x+11x=35 | | 4m+7=36 | | 5x-1=26+4x | | (20n-7.8).2=14.2 | | 8m+8=88 | | 3x-5y+8z=60 | | (31.2-7n)-.3=0.456 | | log(4)(5x+1)-log(4)x=1+log(4)3 | | (n-4)(n-5)(6+n)(5+n)(4+n)(3+n)(2+n)(n-1)(n-2)(n-3)=0 | | 9x-9=26 | | 2x+4x+1=3x+7 | | 14(-9-4m)=21 | | 498-3x^8=216 | | 5x-6=27 | | (n-4)(7+n)(6+n)(5+n)(4+n)(3+n)(2+n)(n-1)(n-2)(n-3)=0 | | 4(2x+2)=-24 | | -5x-39=4(2x-5)-6 | | (8+n)(7+n)(6+n)(5+n)(4+n)(3+n)(2+n)(n-1)(n-2)(n-3)=0 | | 8A+3(2A)=120 | | 6x+2(x+2)=46 | | 3i(4+2i)= |