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Simplifying (x + -3)(x + -1 + 3i)(x + -1 + -3i) = 0 Reorder the terms: (-3 + x)(x + -1 + 3i)(x + -1 + -3i) = 0 Reorder the terms: (-3 + x)(-1 + 3i + x)(x + -1 + -3i) = 0 Reorder the terms: (-3 + x)(-1 + 3i + x)(-1 + -3i + x) = 0 Multiply (-3 + x) * (-1 + 3i + x) (-3(-1 + 3i + x) + x(-1 + 3i + x))(-1 + -3i + x) = 0 ((-1 * -3 + 3i * -3 + x * -3) + x(-1 + 3i + x))(-1 + -3i + x) = 0 ((3 + -9i + -3x) + x(-1 + 3i + x))(-1 + -3i + x) = 0 (3 + -9i + -3x + (-1 * x + 3i * x + x * x))(-1 + -3i + x) = 0 Reorder the terms: (3 + -9i + -3x + (3ix + -1x + x2))(-1 + -3i + x) = 0 (3 + -9i + -3x + (3ix + -1x + x2))(-1 + -3i + x) = 0 Reorder the terms: (3 + -9i + 3ix + -3x + -1x + x2)(-1 + -3i + x) = 0 Combine like terms: -3x + -1x = -4x (3 + -9i + 3ix + -4x + x2)(-1 + -3i + x) = 0 Multiply (3 + -9i + 3ix + -4x + x2) * (-1 + -3i + x) (3(-1 + -3i + x) + -9i * (-1 + -3i + x) + 3ix * (-1 + -3i + x) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 ((-1 * 3 + -3i * 3 + x * 3) + -9i * (-1 + -3i + x) + 3ix * (-1 + -3i + x) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 ((-3 + -9i + 3x) + -9i * (-1 + -3i + x) + 3ix * (-1 + -3i + x) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 (-3 + -9i + 3x + (-1 * -9i + -3i * -9i + x * -9i) + 3ix * (-1 + -3i + x) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 Reorder the terms: (-3 + -9i + 3x + (9i + -9ix + 27i2) + 3ix * (-1 + -3i + x) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 (-3 + -9i + 3x + (9i + -9ix + 27i2) + 3ix * (-1 + -3i + x) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 (-3 + -9i + 3x + 9i + -9ix + 27i2 + (-1 * 3ix + -3i * 3ix + x * 3ix) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 Reorder the terms: (-3 + -9i + 3x + 9i + -9ix + 27i2 + (-3ix + 3ix2 + -9i2x) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 (-3 + -9i + 3x + 9i + -9ix + 27i2 + (-3ix + 3ix2 + -9i2x) + -4x * (-1 + -3i + x) + x2(-1 + -3i + x)) = 0 (-3 + -9i + 3x + 9i + -9ix + 27i2 + -3ix + 3ix2 + -9i2x + (-1 * -4x + -3i * -4x + x * -4x) + x2(-1 + -3i + x)) = 0 Reorder the terms: (-3 + -9i + 3x + 9i + -9ix + 27i2 + -3ix + 3ix2 + -9i2x + (12ix + 4x + -4x2) + x2(-1 + -3i + x)) = 0 (-3 + -9i + 3x + 9i + -9ix + 27i2 + -3ix + 3ix2 + -9i2x + (12ix + 4x + -4x2) + x2(-1 + -3i + x)) = 0 (-3 + -9i + 3x + 9i + -9ix + 27i2 + -3ix + 3ix2 + -9i2x + 12ix + 4x + -4x2 + (-1 * x2 + -3i * x2 + x * x2)) = 0 Reorder the terms: (-3 + -9i + 3x + 9i + -9ix + 27i2 + -3ix + 3ix2 + -9i2x + 12ix + 4x + -4x2 + (-3ix2 + -1x2 + x3)) = 0 (-3 + -9i + 3x + 9i + -9ix + 27i2 + -3ix + 3ix2 + -9i2x + 12ix + 4x + -4x2 + (-3ix2 + -1x2 + x3)) = 0 Reorder the terms: (-3 + -9i + 9i + -9ix + -3ix + 12ix + 3ix2 + -3ix2 + 27i2 + -9i2x + 3x + 4x + -4x2 + -1x2 + x3) = 0 Combine like terms: -9i + 9i = 0 (-3 + 0 + -9ix + -3ix + 12ix + 3ix2 + -3ix2 + 27i2 + -9i2x + 3x + 4x + -4x2 + -1x2 + x3) = 0 (-3 + -9ix + -3ix + 12ix + 3ix2 + -3ix2 + 27i2 + -9i2x + 3x + 4x + -4x2 + -1x2 + x3) = 0 Combine like terms: -9ix + -3ix = -12ix (-3 + -12ix + 12ix + 3ix2 + -3ix2 + 27i2 + -9i2x + 3x + 4x + -4x2 + -1x2 + x3) = 0 Combine like terms: -12ix + 12ix = 0 (-3 + 0 + 3ix2 + -3ix2 + 27i2 + -9i2x + 3x + 4x + -4x2 + -1x2 + x3) = 0 (-3 + 3ix2 + -3ix2 + 27i2 + -9i2x + 3x + 4x + -4x2 + -1x2 + x3) = 0 Combine like terms: 3ix2 + -3ix2 = 0 (-3 + 0 + 27i2 + -9i2x + 3x + 4x + -4x2 + -1x2 + x3) = 0 (-3 + 27i2 + -9i2x + 3x + 4x + -4x2 + -1x2 + x3) = 0 Combine like terms: 3x + 4x = 7x (-3 + 27i2 + -9i2x + 7x + -4x2 + -1x2 + x3) = 0 Combine like terms: -4x2 + -1x2 = -5x2 (-3 + 27i2 + -9i2x + 7x + -5x2 + x3) = 0 Solving -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 27i2 + -9i2x + 7x + -5x2 + 3 + x3 = 0 + 3 Reorder the terms: -3 + 3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 27i2 + -9i2x + 7x + -5x2 + x3 = 0 + 3 27i2 + -9i2x + 7x + -5x2 + x3 = 0 + 3 Combine like terms: 0 + 3 = 3 27i2 + -9i2x + 7x + -5x2 + x3 = 3 Add '-7x' to each side of the equation. 27i2 + -9i2x + 7x + -5x2 + -7x + x3 = 3 + -7x Reorder the terms: 27i2 + -9i2x + 7x + -7x + -5x2 + x3 = 3 + -7x Combine like terms: 7x + -7x = 0 27i2 + -9i2x + 0 + -5x2 + x3 = 3 + -7x 27i2 + -9i2x + -5x2 + x3 = 3 + -7x Add '5x2' to each side of the equation. 27i2 + -9i2x + -5x2 + 5x2 + x3 = 3 + -7x + 5x2 Combine like terms: -5x2 + 5x2 = 0 27i2 + -9i2x + 0 + x3 = 3 + -7x + 5x2 27i2 + -9i2x + x3 = 3 + -7x + 5x2 Add '-1x3' to each side of the equation. 27i2 + -9i2x + x3 + -1x3 = 3 + -7x + 5x2 + -1x3 Combine like terms: x3 + -1x3 = 0 27i2 + -9i2x + 0 = 3 + -7x + 5x2 + -1x3 27i2 + -9i2x = 3 + -7x + 5x2 + -1x3 Reorder the terms: -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 3 + -7x + 5x2 + -1x3 + -3 + 7x + -5x2 + x3 Reorder the terms: -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 3 + -3 + -7x + 7x + 5x2 + -5x2 + -1x3 + x3 Combine like terms: 3 + -3 = 0 -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 0 + -7x + 7x + 5x2 + -5x2 + -1x3 + x3 -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = -7x + 7x + 5x2 + -5x2 + -1x3 + x3 Combine like terms: -7x + 7x = 0 -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 0 + 5x2 + -5x2 + -1x3 + x3 -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3 Combine like terms: 5x2 + -5x2 = 0 -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 0 + -1x3 + x3 -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -3 + 27i2 + -9i2x + 7x + -5x2 + x3 = 0 The solution to this equation could not be determined.
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