We can factor the equation.
[tex]6x^2 + 24x + 18 \\ \\ GCF = 6 \\ \\ 6 ( \frac{6x^2}{6} + \frac{24x}{6} + \frac{18}{6} ) \ / \ factor \ out \ GCF \\ \\ 6(x^2 + 4x + 3) \ / \ simplify \ parentheses \\ \\ 6 (x + 1)(x + 3) \ / \ factor \ parentheses \\ \\ Answer: \fbox {6(x + 1)(x + 3)} [/tex]