[tex]\displaystyle \\ (x+1) ~| ~14 ~~\Longleftrightarrow~~ 14~\vdots ~(x+1)~~ \Longleftrightarrow ~~ \frac{14}{x+1} \in N \\ \\
\text{Divizorii numarului 14 sunt: } \\ \\ D_{14} =1;~2;~7;~14 \\ \\
x+1 = 1 ~~\Longrightarrow~~ x_1 = 1-1 = \boxed{0}\\ \\
x+1 = 2 ~~\Longrightarrow~~ x_2 = 2-1 = \boxed{1} \\ \\ x+1 = 7 ~~\Longrightarrow~~ x_3= 7-1 = \boxed{6} \\ \\ x+1 = 14 ~~\Longrightarrow~~ x_4= 14-1 = \boxed{13} \\ \\ \Longrightarrow~~ \boxed{A =\{0;~1;~2;~13\}}[/tex]
