Answer
x=-3 or -2
Work Step by Step
Factor the trinomial.
x$^2$+5x+6=0
(x+3)(x+2)=0
Set each variable factor as equal to zero and then isolate the variable to find the solutions.
x+3=0 or x+2=0
x=-3 or x=-2
Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at -3 and -2.