Answer
g=−8 OR g=4
Work Step by Step
$g^2+4g−32=0$
(g+?)(g−?)=0 Since the 3rd term is negative, the factors have opposite operators.
(g+8)(g−4)=0
The zero product property tells us that one of the factors is 0.
g+8=0 OR g−4=0
g+8−8=0−8 OR g−4+4=0+4
g=−8 OR g=4