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3=3i/2+6i
We move all terms to the left:
3-(3i/2+6i)=0
Domain of the equation: 2+6i)!=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
6i)!=-2
i!=-2/1
i!=-2
i∈R
-(+6i+3i/2)+3=0
We get rid of parentheses
-6i-3i/2+3=0
We multiply all the terms by the denominator
-6i*2-3i+3*2=0
We add all the numbers together, and all the variables
-3i-6i*2+6=0
Wy multiply elements
-3i-12i+6=0
We add all the numbers together, and all the variables
-15i+6=0
We move all terms containing i to the left, all other terms to the right
-15i=-6
i=-6/-15
i=2/5
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