(3+2i)/(7-3i)=

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Solution for (3+2i)/(7-3i)= equation:



(3+2i)/(7-3i)=
We move all terms to the left:
(3+2i)/(7-3i)-()=0
Domain of the equation: (7-3i)!=0
We move all terms containing i to the left, all other terms to the right
-3i!=-7
i!=-7/-3
i!=2+1/3
i∈R
We add all the numbers together, and all the variables
(2i+3)/(-3i+7)-()=0
We add all the numbers together, and all the variables
(2i+3)/(-3i+7)=0
We multiply all the terms by the denominator
(2i+3)=0
We get rid of parentheses
2i+3=0
We move all terms containing i to the left, all other terms to the right
2i=-3
i=-3/2
i=-1+1/2

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