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Simplifying (x + -4 + -3i)(x + 4 + -3i)(x + 1) = 0 Reorder the terms: (-4 + -3i + x)(x + 4 + -3i)(x + 1) = 0 Reorder the terms: (-4 + -3i + x)(4 + -3i + x)(x + 1) = 0 Reorder the terms: (-4 + -3i + x)(4 + -3i + x)(1 + x) = 0 Multiply (-4 + -3i + x) * (4 + -3i + x) (-4(4 + -3i + x) + -3i * (4 + -3i + x) + x(4 + -3i + x))(1 + x) = 0 ((4 * -4 + -3i * -4 + x * -4) + -3i * (4 + -3i + x) + x(4 + -3i + x))(1 + x) = 0 ((-16 + 12i + -4x) + -3i * (4 + -3i + x) + x(4 + -3i + x))(1 + x) = 0 (-16 + 12i + -4x + (4 * -3i + -3i * -3i + x * -3i) + x(4 + -3i + x))(1 + x) = 0 Reorder the terms: (-16 + 12i + -4x + (-12i + -3ix + 9i2) + x(4 + -3i + x))(1 + x) = 0 (-16 + 12i + -4x + (-12i + -3ix + 9i2) + x(4 + -3i + x))(1 + x) = 0 (-16 + 12i + -4x + -12i + -3ix + 9i2 + (4 * x + -3i * x + x * x))(1 + x) = 0 Reorder the terms: (-16 + 12i + -4x + -12i + -3ix + 9i2 + (-3ix + 4x + x2))(1 + x) = 0 (-16 + 12i + -4x + -12i + -3ix + 9i2 + (-3ix + 4x + x2))(1 + x) = 0 Reorder the terms: (-16 + 12i + -12i + -3ix + -3ix + 9i2 + -4x + 4x + x2)(1 + x) = 0 Combine like terms: 12i + -12i = 0 (-16 + 0 + -3ix + -3ix + 9i2 + -4x + 4x + x2)(1 + x) = 0 (-16 + -3ix + -3ix + 9i2 + -4x + 4x + x2)(1 + x) = 0 Combine like terms: -3ix + -3ix = -6ix (-16 + -6ix + 9i2 + -4x + 4x + x2)(1 + x) = 0 Combine like terms: -4x + 4x = 0 (-16 + -6ix + 9i2 + 0 + x2)(1 + x) = 0 (-16 + -6ix + 9i2 + x2)(1 + x) = 0 Multiply (-16 + -6ix + 9i2 + x2) * (1 + x) (-16(1 + x) + -6ix * (1 + x) + 9i2 * (1 + x) + x2(1 + x)) = 0 ((1 * -16 + x * -16) + -6ix * (1 + x) + 9i2 * (1 + x) + x2(1 + x)) = 0 ((-16 + -16x) + -6ix * (1 + x) + 9i2 * (1 + x) + x2(1 + x)) = 0 (-16 + -16x + (1 * -6ix + x * -6ix) + 9i2 * (1 + x) + x2(1 + x)) = 0 (-16 + -16x + (-6ix + -6ix2) + 9i2 * (1 + x) + x2(1 + x)) = 0 (-16 + -16x + -6ix + -6ix2 + (1 * 9i2 + x * 9i2) + x2(1 + x)) = 0 (-16 + -16x + -6ix + -6ix2 + (9i2 + 9i2x) + x2(1 + x)) = 0 (-16 + -16x + -6ix + -6ix2 + 9i2 + 9i2x + (1 * x2 + x * x2)) = 0 (-16 + -16x + -6ix + -6ix2 + 9i2 + 9i2x + (1x2 + x3)) = 0 Reorder the terms: (-16 + -6ix + -6ix2 + 9i2 + 9i2x + -16x + 1x2 + x3) = 0 (-16 + -6ix + -6ix2 + 9i2 + 9i2x + -16x + 1x2 + x3) = 0 Solving -16 + -6ix + -6ix2 + 9i2 + 9i2x + -16x + 1x2 + x3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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