Hello Caleb.
I recommend here to divide each monomial by x to simplify;
we have x(x^2 -x -20) =0. from here we have one solution x=0
lets check polynomial x^2 -x -20
-20 = -10*2. not this pair
-5*4. yes!
x^2 -x -20 = (x-5)(x+4) = 0.
x-5 =0 and x= 5, x+4 = 0 and x = -4
so you have x=0, x =5, x= -4
hope that helps