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Simplifying (x + -2i + -4)(x + -2i + 4) = 0 Reorder the terms: (-4 + -2i + x)(x + -2i + 4) = 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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