Use factoring and zeroproduct property to solve W2 12w 35

Use factoring and zero-product property to solve. W^2 + 12w + 35 = 0 6v^2 - 3v - 15 = -2v

1. w²+12w+35=0

w²+7w+5w+35=0

w(w+7)+5(w+7)=0

(w+5)(w+7)=0

i.e w+5=0 or w+7=0

so w=5 or w=7

2. 6v²-3v-15=-2v

6v²-3v+2v-15=0

6v²-1v-15=0 (factor 9x10)

6v²+9v-10v-15=0

3v(2v+3)-5(2v+3)=0

(3v-5)(2v+3)=0

i.e 3v-5=0 or 2v+3=0

3v=5 2v=-3

so v=5/3 v=-3/2