TeX source:
\begin{array}{rclcl} -2x^2+6x-5 &=& 3 & \vert & +2x^2-6x+5 \cr 0 &=& 2x^2-6x+8 & \vert & :2 \cr 0 &=& x^2-3x+4 \cr x_{1,2} &=& \dfrac{3}{2}\pm\sqrt{\left(\dfrac{3}{2}\right)^2-4} \cr x_{1,2} &=& \dfrac{3}{2}\pm\sqrt{-\dfrac{7}{4}} \end{array}