Solve $LaTeX: \displaystyle x^{2} + 7 x - 30=0$

Since $LaTeX: \displaystyle a=1$ we need to find factors of $LaTeX: \displaystyle -30$ that add up to $LaTeX: \displaystyle 7$ . The factors are $LaTeX: \displaystyle -3$ and $LaTeX: \displaystyle 10$ . This gives $LaTeX: \displaystyle (x - 3)(x + 10)=0$ . The solutions are $LaTeX: \displaystyle x = 3$ and $LaTeX: \displaystyle x = -10$