find all real solutions of the equation

x ≈ 0.806063

x ≈ -1.70928

x = 1/3 (2+(8 2^(2/3))/(-5+3 i sqrt(111))^(1/3)+(2 (-5+3 i sqrt(111)))^(1/3)) [COMPLEX]

$\dfrac{x}{x^2-4}+\dfrac{1}{x+2}=3\\ x+1(x-2)=3(x^2-4)\\ x+x-2=3x^2-12\\ 3x^2-2x-10=0\\ x=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(3)(-10)}}{2(3)}\\ \;\;=\dfrac{2\pm\sqrt{124}}{6}\\ \;\;=\dfrac{2\pm2\sqrt{31}}{6}\\ \;\;=\dfrac{1\pm\sqrt{31}}{3}\\ \therefore x=\dfrac{1+\sqrt{31}}{3}\text{ OR }x=\dfrac{1-\sqrt{31}}{3}$