Complex Number Problem

[AsianGuy]

Given that (5+2i)/z = 2-i, find z in the form of a+bi

I'm trying to teach my self FM and I got stuck on this.
I don't want the whole solution just a hint on the first step.

 

[Deleted member 4993]

Given that (5+2i)/z = 2-i, find z in the form of a+bi

I'm trying to teach my self FM and I got stuck on this.
I don't want the whole solution just a hint on the first step.

\(\displaystyle \displaystyle \frac{5+2i}{z} \ = 2 - i \) → \(\displaystyle \displaystyle \frac{5+2i}{2 - i} \ = z\) → \(\displaystyle \displaystyle \frac{5+2i}{2 - i} * \frac{2+ i}{2 + i}\ = z\) .... and continue....