Answer
The solutions are -4 and -6.
Work Step by Step
(x+3)(x+8)=x
$x^{2}$+8x+3x+24=x
$x^{2}$+11x+24=x
$x^{2}$+11x+24-x=x-x
$x^{2}$+10x+24=0
$x^{2}$+6x+4x+24=0
x(x+6)+4(x+6)=0
(x+4)(x+6)=0
x+4=0 x+6=0
x+4-4=0-4 or x+6-6=0-6
x=-4 or x=-6
The solutions are -4 and -6.
Check
Let x=-4
(x+3)(x+8)=x
(-4+3)(-4+8)=-4
-1*4=-4
-4=-4
Let x=-6
(-6+3)(-6+8)=x
-3*2=-6
-6=-6
