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To solve this type of problem, multiply both the numerator and denominator by the conjugate of the denominator.
(2 - 4i) / (4 + 2i) = (2 - 4i)(4 - 2i) / (4 + 2i)(4 - 2i)
then expand all the terms, and simplify.
= (8 - 20i + 8i2) / (16 - 4i2) = (8 - 20i - 8) / (16 + 4) = -20i / 20 = -i
Which in the required answer format becomes, 0 + i.
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