[tex]\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\left(-3\right)\cdot \:45}}{2\left(-3\right)}\\\\\\\frac{-\left(-24\right)\pm \:6\sqrt{31}}{2\left(-3\right)}\\\\x_1=\frac{-\left(-24\right)+6\sqrt{31}}{2\left(-3\right)}\\\\x_2=\frac{-\left(-24\right)-6\sqrt{31}}{2\left(-3\right)}\\\\x_1=-4-\sqrt{31}\\x_2=\sqrt{31}-4[/tex]