Given data:
The given equation is 5x^2= -11x-2.
The given equation can be written as,
[tex]\begin{gathered} 5x^2=-11x-2 \\ 5x^2+11x+2=0^{} \\ 5x^2+10x+x+2^{} \\ 5x(x+2)+1(x+2)=0 \\ (5x+1)(x+2)=0 \\ x=-\frac{1}{5},\text{ x=-2} \end{gathered}[/tex]Thus, the values of x are x=-1/5, and x= -2.
