(564-[(724)+(-564)+224]):(-50)

First, let's simplify the expression inside the square brackets:
(724)+(-564)+224 = 360

Now, let's substitute this value back into the original expression:
564-360 = 204

Finally, let's divide 204 by -50:
204/(-50) = -4.08

Therefore, (564-[(724)+(-564)+224]):(-50) = -4.08.