z^2 -10z+24=0 Factor and solve
Z^2 -10z+24=0Factor( z - 4 ) ( z - 6 ) = 0z - 4 = 0z - 6 = 0z = 4z = 6
\(z^2-10z+24=0 \\ z^2-6z-4z+24=0 \\ z(z-6)-4(z-6)=0 \\ (z-4)(z-6)=0 \\ z-4=0 \ \lor \ z-6=0 \\ z=4 \ \lor \ z=6 \\ \boxed{z=4 \hbox{ or } z=6}\)