\(2x+10⋮x+1\)
\(\Rightarrow2x+2+8⋮x+1\)
\(\Rightarrow2\left(x+1\right)+8⋮x+1\)
\(\Rightarrow x+1\inƯ\left(8\right)=\left\{\pm1;\pm2;\pm4;\pm8\right\}\)
\(x\in\left\{0;1;-2;\pm3;-5;7;-9\right\}\)
\(2x+10⋮x-1\)
\(\Rightarrow2x-2+12⋮x-1\)
\(\Rightarrow2\left(x-1\right)+12⋮x-1\)
\(\Rightarrow x-1\inƯ\left(12\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)
x - 1 = 1 => x = 2
x -1 = -1 => x = 0
... tg tự
\(3x+10⋮x+1\)
\(\Rightarrow3x+3+7⋮x+1\)
\(\Rightarrow3\left(x+1\right)+7⋮x+1\)
\(\Rightarrow x+1\inƯ\left(7\right)=\left\{\pm1;\pm7\right\}\)
\(\Rightarrow x\in\left\{0;-2;6;-8\right\}\)