yes, you are correct. you made a typo though. you should have 3x = 8 not -3x = 8

it makes no sense to factor here, or expand.Next I have to solve by factoring:

(x+1)^2 - 4 = 0

My first instincts are to rewrite (x+1)^2 as (x+1) (x+1) and then multiply.

I got: x^2 + 2x - 2 = 0. Do I use the quadratic formula to solve? Thanks in advance!

Also, if they say "by factoring" using the quadratic formula would be wrong, that's not factoring.

Let's do it the factoring way, which i think is harder than what i did in this case.

..........expand as you did before

......now we factor

........this is factoring, do you understand how to get to this step?