1. The problem statement, all variables and given/known data I need to solve 0 = 5x2 - 50x + 125 with solutions x = 5, x = 8. 2. Relevant equations Referencing this thread I arrived at the equation (x - 5)(x - 8) = 5x2 - 50x + 125. Expanding x2 - 13x + 40 = 5x2 - 50x + 125 3. The attempt at a solution I tried to simply compare coefficients here but I saw that for x2 this would give me 1b = 510 which I don't think is possible. So what I did instead was factor out a 5 giving x2 - 13x + 40 = 5(x2 - 10x + 25) which I set up the system 1b = 110 -> 1 = 1 -13b = -1010 -> 1 * b + 3 = 10 40b = 2510 -> 4 * b + 0 = 25 The first equation is not helpful at all, the second givers b = 7 which is not possible with x = 8 and the third gives b = 6.25 which is also not possible. I'm really stumped here. Any help would be awesome.