Answer
The solutions are -3 and 8.
Work Step by Step
$x^{2}$-5x=24
$x^{2}$-5x-24=24-24
$x^{2}$-5x-24=0
$x^{2}$-8x+3x-24=0
x(x-8)+3(x-8)=0
(x+3)(x-8)=0
x+3=0 x-8=0
x+3-3=0-3 or x-8+8=0+8
x=-3 or x=8
The solutions are -3 and 8.
Check
Let x=-3
$x^{2}$-5x=24
$(-3)^{2}$ -5(-3)=24
9+15=24
24=24
Let x=8
$x^{2}$-5x=24
$8^{2}$-5*8 =24
64-40=24
24=24
