[tex] 3x^{2} +5x-2=0\ \textless \ =\ \textgreater \ 3 x^{2} +6x-x-2=0\ \textless \ =\ \textgreater \ \\ \ \textless \ =\ \textgreater \ 3x(x+2)-(x+2)=0\ \textless \ =\ \textgreater \ (x+2)(3x-1)=0=\ \textgreater \ \\ =\ \textgreater \ x+2=0~sau~3x-1=0. \\ x+2=0=\ \textgreater \ x=-2 .\\ 3x-1=0=\ \textgreater \ x= \frac{1}{3} ~(nu~e~numar~intreg) \\ \\ Solutia~intreaga~este~\boxed{x=-2}.[/tex]