(x+2)(x−2)+5x^2=(3x+1)−3x^2
\(\Leftrightarrow x^2-4+5x^2=3x+1-3x^2\)
\(\Leftrightarrow9x^2-3x-5=0\)
\(\Delta=\left(-3\right)^2-4.9.\left(-5\right)=189>0\)
\(\Rightarrow x_1=\frac{3+\sqrt{189}}{2.9}=\frac{3+\sqrt{189}}{18}\)
\(x_2=\frac{3-\sqrt{189}}{2.9}=\frac{3-\sqrt{189}}{18}\)