(5+3i)/(6-4i)=

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Solution for (5+3i)/(6-4i)= equation:



(5+3i)/(6-4i)=
We move all terms to the left:
(5+3i)/(6-4i)-()=0
Domain of the equation: (6-4i)!=0
We move all terms containing i to the left, all other terms to the right
-4i!=-6
i!=-6/-4
i!=1+1/2
i∈R
We add all the numbers together, and all the variables
(3i+5)/(-4i+6)-()=0
We add all the numbers together, and all the variables
(3i+5)/(-4i+6)=0
We multiply all the terms by the denominator
(3i+5)=0
We get rid of parentheses
3i+5=0
We move all terms containing i to the left, all other terms to the right
3i=-5
i=-5/3
i=-1+2/3

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