Solve the equation \(x^2 + 31x + 30 = 0\).

We solve the quadratic equation \(x^2 + 31x + 30 = 0\) using the quadratic formula \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\), where \(a = 1\), \(b = 31\), and \(c = 30\). Calculations lead to roots \(x_1 = -1\) and \(x_2 = -30\).