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(20-4i)/(3+2i)=4-4i
We move all terms to the left:
(20-4i)/(3+2i)-(4-4i)=0
Domain of the equation: (3+2i)!=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
2i!=-3
i!=-3/2
i!=-1+1/2
i∈R
(-4i+20)/(2i+3)-(-4i+4)=0
We get rid of parentheses
(-4i+20)/(2i+3)+4i-4=0
We multiply all the terms by the denominator
(-4i+20)+4i*(2i+3)-4*(2i+3)=0
We multiply parentheses
8i^2+(-4i+20)+12i-8i-12=0
We get rid of parentheses
8i^2-4i+12i-8i+20-12=0
We add all the numbers together, and all the variables
8i^2+8=0
a = 8; b = 0; c = +8;
Δ = b2-4ac
Δ = 02-4·8·8
Δ = -256
Delta is less than zero, so there is no solution for the equation
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