Answer :
[tex]x^2-4x=-2x+24 \\
x^2-4x+2x-24=0 \\
x^2-2x-24=0 \\
x^2-6x+4x-24=0 \\
x(x-6)+4(x-6)=0 \\
\boxed{(x+4)(x-6)=0} \hbox{ - factored equation} \\
(x+4)(x-6)=0 \\
x+4=0 \ \lor \ x-6=0 \\
x=-4 \ \lor \ x=6 \\
x=-4 \hbox{ or } x=6
[/tex]