SOLUTION: how do you solve 2-4i divided by 3+i

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Question 547898: how do you solve 2-4i divided by 3+i
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+2+-+4i+%29+%2F+%28+3+%2B+i+%29+
This isn't actually "solving". It is
really "simplifying"
Multiply top and bottom by +3+-+i+
+%28%28+2+-+4i+%29+%2F+%28+3+%2B+i+%29%29+%2A+%28%28+3+-+i+%29+%2F+%28+3+-+i+%29%29++
+%28%28+2+-+4i+%29%2A%28+3+-+i+%29%29+%2F+%28+9+%2B+3i+-+3i+-+i%5E2+%29+
+%28+6+-+12i+-+2i+%2B+4i%5E2+%29+%2F+%28+9+%2B+1+%29+
+%28+6+-+4+-+14i+%29+%2F+10+
+%28+2+-+14i+%29+%2F+10+
Divide top and bottom by 2
+%28+1+-+7i+%29+%2F+5+ answer
check the answer:
+%28+2+-+4i+%29+%2F+%28+3+%2B+i+%29+=+%28+1+-+7i+%29+%2F+5+
multiply both sides by +5%2A%28+3+%2B+i+%29+
+5%2A%28+2+-+4i+%29+=+%28+1+-+7i+%29%2A%28+3+%2B+i+%29+
+10+-+20i+=+3+-+21i+%2B+i+-+7i%5E2+
+10+-+20i+=+3+%2B+7+-+20i+
+10+-+20i+=+10+-+20i+
OK