When the denominator is zero, you divide by zero so the roots of that polynomial are excluded. They are x=-5 and x=-2, as can be found using the abc quadratic formula or by factoring.
If you factor numerator and denominator you can rewrite as:
[tex]\frac{(x+2)(x-3)}{(x+5)(x+2)} = \frac{x-3}{x+5} [/tex]
