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