Solve $LaTeX: \displaystyle x^{2} + 12 x + 35=0$

Since $LaTeX: \displaystyle a=1$ we need to find factors of $LaTeX: \displaystyle 35$ that add up to $LaTeX: \displaystyle 12$ . The factors are $LaTeX: \displaystyle 7$ and $LaTeX: \displaystyle 5$ . This gives $LaTeX: \displaystyle (x + 7)(x + 5)=0$ . The solutions are $LaTeX: \displaystyle x = -7$ and $LaTeX: \displaystyle x = -5$