Question:

Solve for z, in exact polar form, in the equation $\displaystyle z(z - c) = -c^2$ where c is a some positive constant.

Plot the solutions on the Argand plane.

My workings

$\displaystyle z(z - c) = -c^2$

$\displaystyle z^2 - zc = -c^2$

$\displaystyle z^2 = zc - c^2$

My queries:

How do I isolate the z/ do I need to?

This question asks for ploting points does that mean I need actual values?

If yes how do I get actual values out of the question?