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Simplifying n(n + -1)(n + -2)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8)(n + -9) = 0 Reorder the terms: n(-1 + n)(n + -2)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8)(n + -9) = 0 Reorder the terms: n(-1 + n)(-2 + n)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8)(n + -9) = 0 Reorder the terms: n(-1 + n)(-2 + n)(-3 + n)(n + -4)(n + -5)(n + -6)(n + -7)(n + -8)(n + -9) = 0 Reorder the terms: n(-1 + n)(-2 + n)(-3 + n)(-4 + n)(n + -5)(n + -6)(n + -7)(n + -8)(n + -9) = 0 Reorder the terms: n(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(n + -6)(n + -7)(n + -8)(n + -9) = 0 Reorder the terms: n(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(n + -7)(n + -8)(n + -9) = 0 Reorder the terms: n(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(n + -8)(n + -9) = 0 Reorder the terms: n(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(n + -9) = 0 Reorder the terms: n(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Multiply (-1 + n) * (-2 + n) n(-1(-2 + n) + n(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n((-2 * -1 + n * -1) + n(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n((2 + -1n) + n(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(2 + -1n + (-2 * n + n * n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(2 + -1n + (-2n + n2))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -1n + -2n = -3n n(2 + -3n + n2)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Multiply (2 + -3n + n2) * (-3 + n) n(2(-3 + n) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n((-3 * 2 + n * 2) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n((-6 + 2n) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-6 + 2n + (-3 * -3n + n * -3n) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-6 + 2n + (9n + -3n2) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-6 + 2n + 9n + -3n2 + (-3 * n2 + n * n2))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-6 + 2n + 9n + -3n2 + (-3n2 + n3))(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: 2n + 9n = 11n n(-6 + 11n + -3n2 + -3n2 + n3)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -3n2 + -3n2 = -6n2 n(-6 + 11n + -6n2 + n3)(-4 + n)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Multiply (-6 + 11n + -6n2 + n3) * (-4 + n) n(-6(-4 + n) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n((-4 * -6 + n * -6) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n((24 + -6n) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(24 + -6n + (-4 * 11n + n * 11n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(24 + -6n + (-44n + 11n2) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(24 + -6n + -44n + 11n2 + (-4 * -6n2 + n * -6n2) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(24 + -6n + -44n + 11n2 + (24n2 + -6n3) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(24 + -6n + -44n + 11n2 + 24n2 + -6n3 + (-4 * n3 + n * n3))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(24 + -6n + -44n + 11n2 + 24n2 + -6n3 + (-4n3 + n4))(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -6n + -44n = -50n n(24 + -50n + 11n2 + 24n2 + -6n3 + -4n3 + n4)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: 11n2 + 24n2 = 35n2 n(24 + -50n + 35n2 + -6n3 + -4n3 + n4)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -6n3 + -4n3 = -10n3 n(24 + -50n + 35n2 + -10n3 + n4)(-5 + n)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Multiply (24 + -50n + 35n2 + -10n3 + n4) * (-5 + n) n(24(-5 + n) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n((-5 * 24 + n * 24) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n((-120 + 24n) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-120 + 24n + (-5 * -50n + n * -50n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-120 + 24n + (250n + -50n2) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-120 + 24n + 250n + -50n2 + (-5 * 35n2 + n * 35n2) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-120 + 24n + 250n + -50n2 + (-175n2 + 35n3) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + (-5 * -10n3 + n * -10n3) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + (50n3 + -10n4) + n4(-5 + n))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + (-5 * n4 + n * n4))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 n(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + (-5n4 + n5))(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: 24n + 250n = 274n n(-120 + 274n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + -5n4 + n5)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -50n2 + -175n2 = -225n2 n(-120 + 274n + -225n2 + 35n3 + 50n3 + -10n4 + -5n4 + n5)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: 35n3 + 50n3 = 85n3 n(-120 + 274n + -225n2 + 85n3 + -10n4 + -5n4 + n5)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -10n4 + -5n4 = -15n4 n(-120 + 274n + -225n2 + 85n3 + -15n4 + n5)(-6 + n)(-7 + n)(-8 + n)(-9 + n) = 0 Multiply (-120 + 274n + -225n2 + 85n3 + -15n4 + n5) * (-6 + n) n(-120(-6 + n) + 274n * (-6 + n) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n((-6 * -120 + n * -120) + 274n * (-6 + n) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n((720 + -120n) + 274n * (-6 + n) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + (-6 * 274n + n * 274n) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + (-1644n + 274n2) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + -1644n + 274n2 + (-6 * -225n2 + n * -225n2) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + -1644n + 274n2 + (1350n2 + -225n3) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + (-6 * 85n3 + n * 85n3) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + (-510n3 + 85n4) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + (-6 * -15n4 + n * -15n4) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + (90n4 + -15n5) + n5(-6 + n))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + 90n4 + -15n5 + (-6 * n5 + n * n5))(-7 + n)(-8 + n)(-9 + n) = 0 n(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + 90n4 + -15n5 + (-6n5 + n6))(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -120n + -1644n = -1764n n(720 + -1764n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + 90n4 + -15n5 + -6n5 + n6)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: 274n2 + 1350n2 = 1624n2 n(720 + -1764n + 1624n2 + -225n3 + -510n3 + 85n4 + 90n4 + -15n5 + -6n5 + n6)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -225n3 + -510n3 = -735n3 n(720 + -1764n + 1624n2 + -735n3 + 85n4 + 90n4 + -15n5 + -6n5 + n6)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: 85n4 + 90n4 = 175n4 n(720 + -1764n + 1624n2 + -735n3 + 175n4 + -15n5 + -6n5 + n6)(-7 + n)(-8 + n)(-9 + n) = 0 Combine like terms: -15n5 + -6n5 = -21n5 n(720 + -1764n + 1624n2 + -735n3 + 175n4 + -21n5 + n6)(-7 + n)(-8 + n)(-9 + n) = 0 Multiply (720 + -1764n + 1624n2 + -735n3 + 175n4 + -21n5 + n6) * (-7 + n) n(720(-7 + n) + -1764n * (-7 + n) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n((-7 * 720 + n * 720) + -1764n * (-7 + n) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n((-5040 + 720n) + -1764n * (-7 + n) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + (-7 * -1764n + n * -1764n) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + (12348n + -1764n2) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + (-7 * 1624n2 + n * 1624n2) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + (-11368n2 + 1624n3) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + (-7 * -735n3 + n * -735n3) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + (5145n3 + -735n4) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + (-7 * 175n4 + n * 175n4) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + (-1225n4 + 175n5) + -21n5 * (-7 + n) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + (-7 * -21n5 + n * -21n5) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + (147n5 + -21n6) + n6(-7 + n))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + (-7 * n6 + n * n6))(-8 + n)(-9 + n) = 0 n(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + (-7n6 + n7))(-8 + n)(-9 + n) = 0 Combine like terms: 720n + 12348n = 13068n n(-5040 + 13068n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + -7n6 + n7)(-8 + n)(-9 + n) = 0 Combine like terms: -1764n2 + -11368n2 = -13132n2 n(-5040 + 13068n + -13132n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + -7n6 + n7)(-8 + n)(-9 + n) = 0 Combine like terms: 1624n3 + 5145n3 = 6769n3 n(-5040 + 13068n + -13132n2 + 6769n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + -7n6 + n7)(-8 + n)(-9 + n) = 0 Combine like terms: -735n4 + -1225n4 = -1960n4 n(-5040 + 13068n + -13132n2 + 6769n3 + -1960n4 + 175n5 + 147n5 + -21n6 + -7n6 + n7)(-8 + n)(-9 + n) = 0 Combine like terms: 175n5 + 147n5 = 322n5 n(-5040 + 13068n + -13132n2 + 6769n3 + -1960n4 + 322n5 + -21n6 + -7n6 + n7)(-8 + n)(-9 + n) = 0 Combine like terms: -21n6 + -7n6 = -28n6 n(-5040 + 13068n + -13132n2 + 6769n3 + -1960n4 + 322n5 + -28n6 + n7)(-8 + n)(-9 + n) = 0 Multiply (-5040 + 13068n + -13132n2 + 6769n3 + -1960n4 + 322n5 + -28n6 + n7) * (-8 + n) n(-5040(-8 + n) + 13068n * (-8 + n) + -13132n2 * (-8 + n) + 6769n3 * (-8 + n) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n((-8 * -5040 + n * -5040) + 13068n * (-8 + n) + -13132n2 * (-8 + n) + 6769n3 * (-8 + n) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n((40320 + -5040n) + 13068n * (-8 + n) + -13132n2 * (-8 + n) + 6769n3 * (-8 + n) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + (-8 * 13068n + n * 13068n) + -13132n2 * (-8 + n) + 6769n3 * (-8 + n) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + (-104544n + 13068n2) + -13132n2 * (-8 + n) + 6769n3 * (-8 + n) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + (-8 * -13132n2 + n * -13132n2) + 6769n3 * (-8 + n) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + (105056n2 + -13132n3) + 6769n3 * (-8 + n) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + (-8 * 6769n3 + n * 6769n3) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + (-54152n3 + 6769n4) + -1960n4 * (-8 + n) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + (-8 * -1960n4 + n * -1960n4) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + (15680n4 + -1960n5) + 322n5 * (-8 + n) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + 15680n4 + -1960n5 + (-8 * 322n5 + n * 322n5) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + 15680n4 + -1960n5 + (-2576n5 + 322n6) + -28n6 * (-8 + n) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + 15680n4 + -1960n5 + -2576n5 + 322n6 + (-8 * -28n6 + n * -28n6) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + 15680n4 + -1960n5 + -2576n5 + 322n6 + (224n6 + -28n7) + n7(-8 + n))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + 15680n4 + -1960n5 + -2576n5 + 322n6 + 224n6 + -28n7 + (-8 * n7 + n * n7))(-9 + n) = 0 n(40320 + -5040n + -104544n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + 15680n4 + -1960n5 + -2576n5 + 322n6 + 224n6 + -28n7 + (-8n7 + n8))(-9 + n) = 0 Combine like terms: -5040n + -104544n = -109584n n(40320 + -109584n + 13068n2 + 105056n2 + -13132n3 + -54152n3 + 6769n4 + 15680n4 + -1960n5 + -2576n5 + 322n6 + 224n6 + -28n7 + -8n7 + n8)(-9 + n) = 0 Combine like terms: 13068n2 + 105056n2 = 118124n2 n(40320 + -109584n + 118124n2 + -13132n3 + -54152n3 + 6769n4 + 15680n4 + -1960n5 + -2576n5 + 322n6 + 224n6 + -28n7 + -8n7 + n8)(-9 + n) = 0 Combine like terms: -13132n3 + -54152n3 = -67284n3 n(40320 + -109584n + 118124n2 + -67284n3 + 6769n4 + 15680n4 + -1960n5 + -2576n5 + 322n6 + 224n6 + -28n7 + -8n7 + n8)(-9 + n) = 0 Combine like terms: 6769n4 + 15680n4 = 22449n4 n(40320 + -109584n + 118124n2 + -67284n3 + 22449n4 + -1960n5 + -2576n5 + 322n6 + 224n6 + -28n7 + -8n7 + n8)(-9 + n) = 0 Combine like terms: -1960n5 + -2576n5 = -4536n5 n(40320 + -109584n + 118124n2 + -67284n3 + 22449n4 + -4536n5 + 322n6 + 224n6 + -28n7 + -8n7 + n8)(-9 + n) = 0 Combine like terms: 322n6 + 224n6 = 546n6 n(40320 + -109584n + 118124n2 + -67284n3 + 22449n4 + -4536n5 + 546n6 + -28n7 + -8n7 + n8)(-9 + n) = 0 Combine like terms: -28n7 + -8n7 = -36n7 n(40320 + -109584n + 118124n2 + -67284n3 + 22449n4 + -4536n5 + 546n6 + -36n7 + n8)(-9 + n) = 0 Multiply (40320 + -109584n + 118124n2 + -67284n3 + 22449n4 + -4536n5 + 546n6 + -36n7 + n8) * (-9 + n) n(40320(-9 + n) + -109584n * (-9 + n) + 118124n2 * (-9 + n) + -67284n3 * (-9 + n) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n((-9 * 40320 + n * 40320) + -109584n * (-9 + n) + 118124n2 * (-9 + n) + -67284n3 * (-9 + n) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n((-362880 + 40320n) + -109584n * (-9 + n) + 118124n2 * (-9 + n) + -67284n3 * (-9 + n) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + (-9 * -109584n + n * -109584n) + 118124n2 * (-9 + n) + -67284n3 * (-9 + n) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + (986256n + -109584n2) + 118124n2 * (-9 + n) + -67284n3 * (-9 + n) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + (-9 * 118124n2 + n * 118124n2) + -67284n3 * (-9 + n) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + (-1063116n2 + 118124n3) + -67284n3 * (-9 + n) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + (-9 * -67284n3 + n * -67284n3) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + (605556n3 + -67284n4) + 22449n4 * (-9 + n) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + (-9 * 22449n4 + n * 22449n4) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + (-202041n4 + 22449n5) + -4536n5 * (-9 + n) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + (-9 * -4536n5 + n * -4536n5) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + (40824n5 + -4536n6) + 546n6 * (-9 + n) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + (-9 * 546n6 + n * 546n6) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + (-4914n6 + 546n7) + -36n7 * (-9 + n) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + -4914n6 + 546n7 + (-9 * -36n7 + n * -36n7) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + -4914n6 + 546n7 + (324n7 + -36n8) + n8(-9 + n)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + -4914n6 + 546n7 + 324n7 + -36n8 + (-9 * n8 + n * n8)) = 0 n(-362880 + 40320n + 986256n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + -4914n6 + 546n7 + 324n7 + -36n8 + (-9n8 + n9)) = 0 Combine like terms: 40320n + 986256n = 1026576n n(-362880 + 1026576n + -109584n2 + -1063116n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + -4914n6 + 546n7 + 324n7 + -36n8 + -9n8 + n9) = 0 Combine like terms: -109584n2 + -1063116n2 = -1172700n2 n(-362880 + 1026576n + -1172700n2 + 118124n3 + 605556n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + -4914n6 + 546n7 + 324n7 + -36n8 + -9n8 + n9) = 0 Combine like terms: 118124n3 + 605556n3 = 723680n3 n(-362880 + 1026576n + -1172700n2 + 723680n3 + -67284n4 + -202041n4 + 22449n5 + 40824n5 + -4536n6 + -4914n6 + 546n7 + 324n7 + -36n8 + -9n8 + n9) = 0 Combine like terms: -67284n4 + -202041n4 = -269325n4 n(-362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 22449n5 + 40824n5 + -4536n6 + -4914n6 + 546n7 + 324n7 + -36n8 + -9n8 + n9) = 0 Combine like terms: 22449n5 + 40824n5 = 63273n5 n(-362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 63273n5 + -4536n6 + -4914n6 + 546n7 + 324n7 + -36n8 + -9n8 + n9) = 0 Combine like terms: -4536n6 + -4914n6 = -9450n6 n(-362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 63273n5 + -9450n6 + 546n7 + 324n7 + -36n8 + -9n8 + n9) = 0 Combine like terms: 546n7 + 324n7 = 870n7 n(-362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 63273n5 + -9450n6 + 870n7 + -36n8 + -9n8 + n9) = 0 Combine like terms: -36n8 + -9n8 = -45n8 n(-362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 63273n5 + -9450n6 + 870n7 + -45n8 + n9) = 0 (-362880 * n + 1026576n * n + -1172700n2 * n + 723680n3 * n + -269325n4 * n + 63273n5 * n + -9450n6 * n + 870n7 * n + -45n8 * n + n9 * n) = 0 (-362880n + 1026576n2 + -1172700n3 + 723680n4 + -269325n5 + 63273n6 + -9450n7 + 870n8 + -45n9 + n10) = 0 Solving -362880n + 1026576n2 + -1172700n3 + 723680n4 + -269325n5 + 63273n6 + -9450n7 + 870n8 + -45n9 + n10 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 63273n5 + -9450n6 + 870n7 + -45n8 + n9) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 63273n5 + -9450n6 + 870n7 + -45n8 + n9)' equal to zero and attempt to solve: Simplifying -362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 63273n5 + -9450n6 + 870n7 + -45n8 + n9 = 0 Solving -362880 + 1026576n + -1172700n2 + 723680n3 + -269325n4 + 63273n5 + -9450n6 + 870n7 + -45n8 + n9 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
| -9(-30x-20)=44(49+5x) | | -4248=-12 | | -2t+7=3t-3 | | 7x-5(10)=20 | | 7s+2=9s-2 | | X+(X)(.05)=1260 | | 8x^3-40x^2+50x=0 | | 27-32x=6 | | 2y-5=3y-5 | | 5(5+9*8)=x | | 14=2m+6 | | 2-5x-7x+5= | | 4(x-1)=-(x-8) | | -250000/55000 | | -25000/55000 | | -125/5 | | 15+f=135 | | (4/9)=344/x | | 15x(3x+4)= | | -4n+3-6(2d)+n-5= | | 3z/8-z/10=7 | | y=2x^2-20x+32 | | 36*r=144 | | 4=y+0.8 | | t/4=-10 | | 15w-20=-10-5w | | 6(-2x/3) | | 27m+38m=0 | | 1+x-12=14 | | 3x^2-12x-14= | | y/2=b-y/2 | | -1.2c=-6 |