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(3+7i)/(4-3i)=
We move all terms to the left:
(3+7i)/(4-3i)-()=0
Domain of the equation: (4-3i)!=0We add all the numbers together, and all the variables
We move all terms containing i to the left, all other terms to the right
-3i!=-4
i!=-4/-3
i!=1+1/3
i∈R
(7i+3)/(-3i+4)-()=0
We add all the numbers together, and all the variables
(7i+3)/(-3i+4)=0
We multiply all the terms by the denominator
(7i+3)=0
We get rid of parentheses
7i+3=0
We move all terms containing i to the left, all other terms to the right
7i=-3
i=-3/7
i=-3/7
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