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Simplifying (x + -8)(x + 14)(x + -3 + 8i)(x + -3 + -8i) = 0 Reorder the terms: (-8 + x)(x + 14)(x + -3 + 8i)(x + -3 + -8i) = 0 Reorder the terms: (-8 + x)(14 + x)(x + -3 + 8i)(x + -3 + -8i) = 0 Reorder the terms: (-8 + x)(14 + x)(-3 + 8i + x)(x + -3 + -8i) = 0 Reorder the terms: (-8 + x)(14 + x)(-3 + 8i + x)(-3 + -8i + x) = 0 Multiply (-8 + x) * (14 + x) (-8(14 + x) + x(14 + x))(-3 + 8i + x)(-3 + -8i + x) = 0 ((14 * -8 + x * -8) + x(14 + x))(-3 + 8i + x)(-3 + -8i + x) = 0 ((-112 + -8x) + x(14 + x))(-3 + 8i + x)(-3 + -8i + x) = 0 (-112 + -8x + (14 * x + x * x))(-3 + 8i + x)(-3 + -8i + x) = 0 (-112 + -8x + (14x + x2))(-3 + 8i + x)(-3 + -8i + x) = 0 Combine like terms: -8x + 14x = 6x (-112 + 6x + x2)(-3 + 8i + x)(-3 + -8i + x) = 0 Multiply (-112 + 6x + x2) * (-3 + 8i + x) (-112(-3 + 8i + x) + 6x * (-3 + 8i + x) + x2(-3 + 8i + x))(-3 + -8i + x) = 0 ((-3 * -112 + 8i * -112 + x * -112) + 6x * (-3 + 8i + x) + x2(-3 + 8i + x))(-3 + -8i + x) = 0 ((336 + -896i + -112x) + 6x * (-3 + 8i + x) + x2(-3 + 8i + x))(-3 + -8i + x) = 0 (336 + -896i + -112x + (-3 * 6x + 8i * 6x + x * 6x) + x2(-3 + 8i + x))(-3 + -8i + x) = 0 Reorder the terms: (336 + -896i + -112x + (48ix + -18x + 6x2) + x2(-3 + 8i + x))(-3 + -8i + x) = 0 (336 + -896i + -112x + (48ix + -18x + 6x2) + x2(-3 + 8i + x))(-3 + -8i + x) = 0 (336 + -896i + -112x + 48ix + -18x + 6x2 + (-3 * x2 + 8i * x2 + x * x2))(-3 + -8i + x) = 0 Reorder the terms: (336 + -896i + -112x + 48ix + -18x + 6x2 + (8ix2 + -3x2 + x3))(-3 + -8i + x) = 0 (336 + -896i + -112x + 48ix + -18x + 6x2 + (8ix2 + -3x2 + x3))(-3 + -8i + x) = 0 Reorder the terms: (336 + -896i + 48ix + 8ix2 + -112x + -18x + 6x2 + -3x2 + x3)(-3 + -8i + x) = 0 Combine like terms: -112x + -18x = -130x (336 + -896i + 48ix + 8ix2 + -130x + 6x2 + -3x2 + x3)(-3 + -8i + x) = 0 Combine like terms: 6x2 + -3x2 = 3x2 (336 + -896i + 48ix + 8ix2 + -130x + 3x2 + x3)(-3 + -8i + x) = 0 Multiply (336 + -896i + 48ix + 8ix2 + -130x + 3x2 + x3) * (-3 + -8i + x) (336(-3 + -8i + x) + -896i * (-3 + -8i + x) + 48ix * (-3 + -8i + x) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 ((-3 * 336 + -8i * 336 + x * 336) + -896i * (-3 + -8i + x) + 48ix * (-3 + -8i + x) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 ((-1008 + -2688i + 336x) + -896i * (-3 + -8i + x) + 48ix * (-3 + -8i + x) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + (-3 * -896i + -8i * -896i + x * -896i) + 48ix * (-3 + -8i + x) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 Reorder the terms: (-1008 + -2688i + 336x + (2688i + -896ix + 7168i2) + 48ix * (-3 + -8i + x) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + (2688i + -896ix + 7168i2) + 48ix * (-3 + -8i + x) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + (-3 * 48ix + -8i * 48ix + x * 48ix) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 Reorder the terms: (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + (-144ix + 48ix2 + -384i2x) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + (-144ix + 48ix2 + -384i2x) + 8ix2 * (-3 + -8i + x) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + (-3 * 8ix2 + -8i * 8ix2 + x * 8ix2) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 Reorder the terms: (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + (-24ix2 + 8ix3 + -64i2x2) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + (-24ix2 + 8ix3 + -64i2x2) + -130x * (-3 + -8i + x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + (-3 * -130x + -8i * -130x + x * -130x) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 Reorder the terms: (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + (1040ix + 390x + -130x2) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + (1040ix + 390x + -130x2) + 3x2 * (-3 + -8i + x) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + 1040ix + 390x + -130x2 + (-3 * 3x2 + -8i * 3x2 + x * 3x2) + x3(-3 + -8i + x)) = 0 Reorder the terms: (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + 1040ix + 390x + -130x2 + (-24ix2 + -9x2 + 3x3) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + 1040ix + 390x + -130x2 + (-24ix2 + -9x2 + 3x3) + x3(-3 + -8i + x)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + 1040ix + 390x + -130x2 + -24ix2 + -9x2 + 3x3 + (-3 * x3 + -8i * x3 + x * x3)) = 0 Reorder the terms: (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + 1040ix + 390x + -130x2 + -24ix2 + -9x2 + 3x3 + (-8ix3 + -3x3 + x4)) = 0 (-1008 + -2688i + 336x + 2688i + -896ix + 7168i2 + -144ix + 48ix2 + -384i2x + -24ix2 + 8ix3 + -64i2x2 + 1040ix + 390x + -130x2 + -24ix2 + -9x2 + 3x3 + (-8ix3 + -3x3 + x4)) = 0 Reorder the terms: (-1008 + -2688i + 2688i + -896ix + -144ix + 1040ix + 48ix2 + -24ix2 + -24ix2 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: -2688i + 2688i = 0 (-1008 + 0 + -896ix + -144ix + 1040ix + 48ix2 + -24ix2 + -24ix2 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 (-1008 + -896ix + -144ix + 1040ix + 48ix2 + -24ix2 + -24ix2 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: -896ix + -144ix = -1040ix (-1008 + -1040ix + 1040ix + 48ix2 + -24ix2 + -24ix2 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: -1040ix + 1040ix = 0 (-1008 + 0 + 48ix2 + -24ix2 + -24ix2 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 (-1008 + 48ix2 + -24ix2 + -24ix2 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: 48ix2 + -24ix2 = 24ix2 (-1008 + 24ix2 + -24ix2 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: 24ix2 + -24ix2 = 0 (-1008 + 0 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 (-1008 + 8ix3 + -8ix3 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: 8ix3 + -8ix3 = 0 (-1008 + 0 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 (-1008 + 7168i2 + -384i2x + -64i2x2 + 336x + 390x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: 336x + 390x = 726x (-1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -130x2 + -9x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: -130x2 + -9x2 = -139x2 (-1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + 3x3 + -3x3 + x4) = 0 Combine like terms: 3x3 + -3x3 = 0 (-1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + 0 + x4) = 0 (-1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4) = 0 Solving -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1008' to each side of the equation. -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + 1008 + x4 = 0 + 1008 Reorder the terms: -1008 + 1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 0 + 1008 Combine like terms: -1008 + 1008 = 0 0 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 0 + 1008 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 0 + 1008 Combine like terms: 0 + 1008 = 1008 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 1008 Add '-726x' to each side of the equation. 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + -726x + x4 = 1008 + -726x Reorder the terms: 7168i2 + -384i2x + -64i2x2 + 726x + -726x + -139x2 + x4 = 1008 + -726x Combine like terms: 726x + -726x = 0 7168i2 + -384i2x + -64i2x2 + 0 + -139x2 + x4 = 1008 + -726x 7168i2 + -384i2x + -64i2x2 + -139x2 + x4 = 1008 + -726x Add '139x2' to each side of the equation. 7168i2 + -384i2x + -64i2x2 + -139x2 + 139x2 + x4 = 1008 + -726x + 139x2 Combine like terms: -139x2 + 139x2 = 0 7168i2 + -384i2x + -64i2x2 + 0 + x4 = 1008 + -726x + 139x2 7168i2 + -384i2x + -64i2x2 + x4 = 1008 + -726x + 139x2 Add '-1x4' to each side of the equation. 7168i2 + -384i2x + -64i2x2 + x4 + -1x4 = 1008 + -726x + 139x2 + -1x4 Combine like terms: x4 + -1x4 = 0 7168i2 + -384i2x + -64i2x2 + 0 = 1008 + -726x + 139x2 + -1x4 7168i2 + -384i2x + -64i2x2 = 1008 + -726x + 139x2 + -1x4 Reorder the terms: -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 1008 + -726x + 139x2 + -1x4 + -1008 + 726x + -139x2 + x4 Reorder the terms: -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 1008 + -1008 + -726x + 726x + 139x2 + -139x2 + -1x4 + x4 Combine like terms: 1008 + -1008 = 0 -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 0 + -726x + 726x + 139x2 + -139x2 + -1x4 + x4 -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = -726x + 726x + 139x2 + -139x2 + -1x4 + x4 Combine like terms: -726x + 726x = 0 -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 0 + 139x2 + -139x2 + -1x4 + x4 -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 139x2 + -139x2 + -1x4 + x4 Combine like terms: 139x2 + -139x2 = 0 -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 0 + -1x4 + x4 -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 -1008 + 7168i2 + -384i2x + -64i2x2 + 726x + -139x2 + x4 = 0 The solution to this equation could not be determined.
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