subisutte area=lw l=3w-7 66=(3w-7)(w) 66=3w^2-7w subtrac 66 from both sides 0=3w^2-7w-66 factor HOW TO multiply 3 and -66=-198 find what 2 numbers add up to -7 and multiply to get -198 the numbers area 11 and -18 so 3w^2-18w+11w-66=0 factor (3w^2-18w)+(11w-66)=0 (3w)(w-6)+(11)(w-6)=0 factor using distributive (ab+ac=a(b+c))
(3w+11)(w-6)=0 set them to zero 3w+11=0 subtract 11 3w=-11 legnths cannot be negative so we discard this