Solve $LaTeX: \displaystyle x^{2} + 7 x + 10=0$

Since $LaTeX: \displaystyle a=1$ we need to find factors of $LaTeX: \displaystyle 10$ that add up to $LaTeX: \displaystyle 7$ . The factors are $LaTeX: \displaystyle 5$ and $LaTeX: \displaystyle 2$ . This gives $LaTeX: \displaystyle (x + 5)(x + 2)=0$ . The solutions are $LaTeX: \displaystyle x = -5$ and $LaTeX: \displaystyle x = -2$