Question

Rearrange the quadratic equation so that it is equal to 0 then factor the equation x^2-4x=-2x+24

Answer 1

$x^2-4x=-2x+24 \\ x^2-4x+2x-24=0 \\ x^2-2x-24=0 \\ x^2-6x+4x-24=0 \\ x(x-6)+4(x-6)=0 \\ \boxed{(x+4)(x-6)=0} \hbox{ - factored equation} \\ (x+4)(x-6)=0 \\ x+4=0 \ \lor \ x-6=0 \\ x=-4 \ \lor \ x=6 \\ x=-4 \hbox{ or } x=6$