2w^2+5w+3=0

2 answers

2w^2+5w+3=0
2w^2+2w+3w+3=0
2w(w+1)+3(w+1)=0
(2w+3)+(w+1)=0
2w+3=0 w+1=0
2w=-3 w=-1
w=-3/2
To make it clearer,

2w^2 + 5w + 3 = 0

This factors into:

(2w + 3)(w + 1) = 0 (The + sign in the previous answer is a typo)

The rest is correct.