simplify. what are the excluded values?

x^2+6x+9/5x+15

There is a good chance you have missed out parentheses in the numerator and the denominator.

All fractions have implicit (i.e. understood) parentheses in the numerator and denominator.

I believe your question means
(x²+6x+9)/(5x+15) even though the question does not actually show the brackets. When you reduce the expression to a single line, the parentheses are required.

(x²+6x+9)/(5x+15)
=(x+3)²/5(x+3)
=(x+3)/5 on condition that x≠3