[tex]\begin{gathered} x_{1,2}=\frac{-(2)\pm\sqrt[]{(2)^2-4(2)(-12)}}{2(2)} \\ x_{1,2}=\frac{-2\pm\sqrt[]{4-(-96)}}{4}\text{ Solving the multiplications, the square and removing parentheses} \\ x_{1,2}=\frac{-2\pm\sqrt[]{100}}{4}\text{ Solving the subtraction} \\ x_{1,2}=\frac{-2\pm10}{4}\text{ Solving the square root} \\ Now,\text{ we have two solutions, the first one considers the plus symbol:} \\ x_1=\frac{-2+10}{4}=\frac{8}{4}=2 \\ \text{The second solution considers the minus symbol:} \\ x_2=\frac{-2-10}{4}=\frac{-12}{4}=-3 \end{gathered}[/tex]
