I feel like I'm missing something very simple. I tried searching for similar answers, because I'm sure I'm not the first to as this question, but I had no luck (perhaps I'm missing the correct search terms).
I would like to simplify an equation of the form, e.g.
FullSimplify[a(x+1)==0] does not work, nor did using
Eliminate[(x + 1) == 0, a] just outputs
True. How do I get Mathematica to remove terms that multiply a parenthetical expression when it is all equal to zero?