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(4+5i)/(3-7i)=
We move all terms to the left:
(4+5i)/(3-7i)-()=0
Domain of the equation: (3-7i)!=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
-7i!=-3
i!=-3/-7
i!=3/7
i∈R
(5i+4)/(-7i+3)-()=0
We add all the numbers together, and all the variables
(5i+4)/(-7i+3)=0
We multiply all the terms by the denominator
(5i+4)=0
We get rid of parentheses
5i+4=0
We move all terms containing i to the left, all other terms to the right
5i=-4
i=-4/5
i=-4/5
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