SOLUTION: Simplify. -2+3i/-4+2i

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Question 1145575: Simplify. -2+3i/-4+2i
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify. -2+3i/-4+2i
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Multiply NUM and DEN by the conjugate of the DEN.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify. %28%28-2%2B3i%29%29%2F%28%28-4%2B2i%29%29
multiply by the conjugate of the denominator over itself (same as multiplying by 1)
%28%28-2%2B3i%29%29%2F%28%28-4%2B2i%29%29 * %28%28-4-2i%29%29%2F%28%28-4-2i%29%29 = %28%288%2B4i-12i-6i%5E2%29%29%2F%28%2816%2B8i-8i-4i%5E2%29%29 = %28%288-8i-6%28-1%29%29%29%2F%28%2816-4%28-1%29%29%29 = %28%288-8i%2B6%29%29%2F%28%2816%2B4%29%29 = %28%2814-8i%29%29%2F%28%2820%29%29
simplify, divide by 2
%28%287-4i%29%29%2F%28%2810%29%29 or (.7 -.4i)