Help

If we multiply both sides by x+4,we get \(x^2+2x+3=x^2+9x+20\) which can be simplified to \(0=7x+17\)ubtract 17 from both sides and divide by 7. we get -17/7.

Cross-multiplication gives 

\(x^2+2x+3=(x+4)(x+5)=x^2+9x+20. \)

Therefore

\(0=7x+17\)

and \(x=\boxed{-\frac{17}7}\).