Răspuns: [tex]x\in \{7;10\}[/tex]
Explicație pas cu pas:
[tex]-2x\big(-3+x\big)=-14\Rightarrow x\big(-3+x\big)=-14:(-2)\Rightarrow x\big(-3+x\big)=7[/tex]
[tex]\it~[/tex]
[tex]x\big(-3+x\big)=7\Rightarrow \left\{\begin{matrix}x_{1}=7 \\ -3+x=7\end{matrix}\right. \Rightarrow \left\{\begin{matrix} x_{1}=7 \\ x_{2}=7+3\end{matrix}\right.[/tex]
[tex]\it~[/tex]
[tex]\Rightarrow \left\{\begin{matrix} x_{1}=7 \\ x_{2}=10\end{matrix}\right. \Rightarrow \boxed{x\in \{7;10\} \in\mathbb{Z}}[/tex]
