(7+9i)/(3+8i)=

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Solution for (7+9i)/(3+8i)= equation:



(7+9i)/(3+8i)=
We move all terms to the left:
(7+9i)/(3+8i)-()=0
Domain of the equation: (3+8i)!=0
We move all terms containing i to the left, all other terms to the right
8i!=-3
i!=-3/8
i!=-3/8
i∈R
We add all the numbers together, and all the variables
(9i+7)/(8i+3)-()=0
We add all the numbers together, and all the variables
(9i+7)/(8i+3)=0
We multiply all the terms by the denominator
(9i+7)=0
We get rid of parentheses
9i+7=0
We move all terms containing i to the left, all other terms to the right
9i=-7
i=-7/9
i=-7/9

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