Question

$$z ( z - 3 i ) ( 2 + 5 i ) = 3 - 4 i$$

Solve for z

$z=\frac{\sqrt{-\frac{317}{29}-\frac{92}{29}i}}{2}+\frac{3}{2}i\approx -0.23744594+3.170071614i$
$z=-\frac{\sqrt{-\frac{317}{29}-\frac{92}{29}i}}{2}+\frac{3}{2}i\approx 0.23744594-0.170071614i$