X²-[latex] \frac{9x+2} 5[/latex]=0

[latex]9 - \frac{9x+2}{5}=0 \\ 5x^2-5* \frac{9x+2}{5}= 0 \\ 5x^2 -(9x+2) =0 \\ 2x^2-9x-2=0 \\ x = \frac{9+-\sqrt{(-9)^2-4*5*(-2)}}{2*5} \\ x = \frac{9+-11}{10} \\ x_1 = - \frac{1}{5}\\ x_2 = 2[/latex]