Find the coordinates where the curve y=x^2+6x+5 crosses the x-axis.

When any curve crosses the x-axis, the y-coordinate is 0 at that point. Hence, our answers will have y=0. So we want to solve x^2+6x+5=0. From before, we have that x^2+6x+5=0 can be rewritten as (x+5)(x+1)=0. To find our x-coordinates, we need to find when (x+5)=0 and when (x+1)=0. These rearrange to give x=-5 and x=-1. Our coordinates are (-5,0) and (-1,0).