Math Help - argand diagram

Identify IN A ARGAND diagram the points corresponding to the following equation |Z+4|=3|Z|

Hey spacemenon.

Hint: Try expanding things in terms of x and y (z = x + iy) and get a formula in terms of the x's and y's. Also note that (x-a)^2 + (y-b)^2 = r^2 is the formula for a circle centered at (a,b) with radius r.

Thank u