Solve $LaTeX: \displaystyle x^{2} - 5 x - 14=0$

Since $LaTeX: \displaystyle a=1$ we need to find factors of $LaTeX: \displaystyle -14$ that add up to $LaTeX: \displaystyle -5$ . The factors are $LaTeX: \displaystyle 2$ and $LaTeX: \displaystyle -7$ . This gives $LaTeX: \displaystyle (x + 2)(x - 7)=0$ . The solutions are $LaTeX: \displaystyle x = -2$ and $LaTeX: \displaystyle x = 7$