SOLUTION: Simplify 6i/2-2i

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Question 690945: Simplify
6i/2-2i
Answer by jim_thompson5910(35256) About Me  (Show Source):
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6i/(2-2i)

[6i(2+2i)]/[(2-2i)(2+2i)]

(12i+12i^2)/[2^2 - (2i)^2]

(12i+12i^2)/[4 - 4i^2]

(12i+12i^2)/[4 - 4(-1)]

(12i+12i^2)/[4 + 4]

(12i+12i^2)/8

(12i+12(-1))/8

(12i-12)/8

-3/2 + 3/2i