Answer
The solutions are -4 and 6.
Work Step by Step
$x^{2}$-2x-24=0
$x^{2}$+4x -6x-24=0
x(x+4)-6(x+4)=0
x+4=0 and x-6=0
x+4-4=0 -4 and x-6+6=0+6
x=-4 and x=6
The solutions are -4 and 6.
Check
Let x=-4
$x^{2}$-2x-24=0
$(-4)^{2}$-2(-4)-24=0
16+8-24=0
0=0
Let x=6
$x^{2}$-2x-24=0
$(6)^{2}$-2(6)-24=0
36-12-24=0
0=0
