Answer :

Lilith
[tex]2x^2-2x-24=0 \ \ :2\\ \\x^2- x-12=0 \\ \\x^2- x-3x+3x -12=0\\ \\x^2-4x+3x -12=0 \\ \\x(x-4)+3(x-4)=0[/tex]

[tex](x-4)(x+3) =0\\ \\x-4 =0 \ \ or \ \ x+3 =0 \\ \\x=4 \ \ or \ \ x=-3[/tex]