\[\begin{array}{rl}3x^2+4x+8=2x^2+6x-5 &\text{Rewrite where zero is on one side} \\ x^2-2x+13=0 &\text{Apply the quadratic formula} \\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}&\text{Plug-n-chug }a=1,\: b=-2,...\[\begin{array}{rl}3x^2+4x+8=2x^2+6x-5 &\text{Rewrite where zero is on one side} \\ x^2-2x+13=0 &\text{Apply the quadratic formula} \\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}&\text{Plug-n-chug }a=1,\: b=-2,\: c=13 \\ x=\dfrac{2\pm\sqrt{\color{blue}{(-2)}\color{black}{^2}-4\color{blue}{(1)(13)}}}{2\color{blue}{(1)}}&\text{Simplify using order of operations} \\ x=\dfrac{2\pm\sqrt{4-52}}{2} \\ x=\dfrac{2\pm\sqrt{-48}}{2}&\text{Rewrite the radical using }i \\ x=\dfrac{2\pm i\sqrt{48}}{2}&\text{Simplify t…
