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Simplifying (x + 4 + 2i)(x + -4 + -2i) = 0 Reorder the terms: (4 + 2i + x)(x + -4 + -2i) = 0 Reorder the terms: (4 + 2i + x)(-4 + -2i + x) = 0 Multiply (4 + 2i + x) * (-4 + -2i + x) (4(-4 + -2i + x) + 2i * (-4 + -2i + x) + x(-4 + -2i + x)) = 0 ((-4 * 4 + -2i * 4 + x * 4) + 2i * (-4 + -2i + x) + x(-4 + -2i + x)) = 0 ((-16 + -8i + 4x) + 2i * (-4 + -2i + x) + x(-4 + -2i + x)) = 0 (-16 + -8i + 4x + (-4 * 2i + -2i * 2i + x * 2i) + x(-4 + -2i + x)) = 0 Reorder the terms: (-16 + -8i + 4x + (-8i + 2ix + -4i2) + x(-4 + -2i + x)) = 0 (-16 + -8i + 4x + (-8i + 2ix + -4i2) + x(-4 + -2i + x)) = 0 (-16 + -8i + 4x + -8i + 2ix + -4i2 + (-4 * x + -2i * x + x * x)) = 0 Reorder the terms: (-16 + -8i + 4x + -8i + 2ix + -4i2 + (-2ix + -4x + x2)) = 0 (-16 + -8i + 4x + -8i + 2ix + -4i2 + (-2ix + -4x + x2)) = 0 Reorder the terms: (-16 + -8i + -8i + 2ix + -2ix + -4i2 + 4x + -4x + x2) = 0 Combine like terms: -8i + -8i = -16i (-16 + -16i + 2ix + -2ix + -4i2 + 4x + -4x + x2) = 0 Combine like terms: 2ix + -2ix = 0 (-16 + -16i + 0 + -4i2 + 4x + -4x + x2) = 0 (-16 + -16i + -4i2 + 4x + -4x + x2) = 0 Combine like terms: 4x + -4x = 0 (-16 + -16i + -4i2 + 0 + x2) = 0 (-16 + -16i + -4i2 + x2) = 0 Solving -16 + -16i + -4i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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