Answer
$2$
Work Step by Step
We evaluate the expression by substituting $x=-6$ throughout the expression and simplifying:
$\frac{x^{2}+2x}{x^{2}+5x+6}$
=$\frac{(-6)^{2}+2(-6)}{(-6)^{2}+5(-6)+6}$
=$\frac{36-12}{36-30+6}$
=$\frac{24}{6+6}$
=$\frac{24}{12}$
=$2$