Bổ sung đề : Tìm `x\in ZZ`
`ĐK:x\ne -3`
`x+8\vdots (x+3)`
`=>(x+3)+5\vdots (x+3)`
`=>5\vdots (x+3)`
`=>x+3\in Ư(5)={+-1;+-5}`
`=>x\in {-4;-2;-8;2}\ (TMDK)`
\(x+8⋮x+3\)
\(\Rightarrow x+3+5⋮x+3\)
\(Mà\) \(x+3⋮x+3\Rightarrow5⋮x+3\)
\(\Rightarrow x+3\inƯ\left(5\right)=\left\{1;5\right\}\)
\(\Rightarrow x\in\left\{-2;2\right\}\)