Given the complex Z0 = 3 + 2I, the complex Z satisfies Z + Z0 = 3Z + Z0=

Let z = x + Yi
From the meaning of the title
z+z0=(3+x)+(2+y)i
3z+z0=(3x+3)+(3y+2)i
The real part and the imaginary part are equal respectively
3+x=3x+3
x=3x
x=0
2+y=3y+2
y=3y
y=0
The complex number is zero

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