If open-loop transfer function of the system isG(s) H(s)

If open-loop transfer function of the system is
G(s) H(s) = K(s + 10)
s(s + 8)(s + 16)(s + 72)

then a closed loop pole will be located at s = – 12, when the value of K is

\|K\| =	[Product of vector drawn from the poles of G(s) H(s) to the given pole]
	[Products of vectors drawn from the zeros of G(s) H(s) to the given pole]

=	\|-12 × (-4) × 4 × 60\|	= 5760
	\|-2\|

G(s) H(s) =	K(s + 10)
	s(s + 8)(s + 16)(s + 72)