What is the solution set to the equation (2x−4)(4x−5)=0

First, distribute the parenthesis:
(2x - 4) (4x - 5) = 8x - 20
 \___\_/___/
       |       |
2x * 4x, 4 * 5
Then you add 20 to both sides
8x - 20 = 0
      +20 +20
8x = 20
Then you divide both sides by 8
[tex] \frac{8x = 20}{8} [/tex]
x = 2.5

I think I did that right... I don't quite remember what a solution set is