$\frac{z+2-4i}{z}=5-4i$
$z+2-4i=z(5-4i)$
$z+2-4i=5z-4iz$
$z+4iz-5z=-2+4i$
$-4z+4iz=-2+4i$
Am I doing this correctly? And what do I do from here. I need to get the I to the other side but don't know how. Thanks in advance.
$\frac{z+2-4i}{z}=5-4i$
$z+2-4i=z(5-4i)$
$z+2-4i=5z-4iz$
$z+4iz-5z=-2+4i$
$-4z+4iz=-2+4i$
Am I doing this correctly? And what do I do from here. I need to get the I to the other side but don't know how. Thanks in advance.
Hint: $$z=\frac{-2+4i}{-4+4i}=\frac{(-2+4i)(-4-4i)}{(-4+4i)(-4-4i)}$$
Can you finish from here?