You can put this solution on YOUR website! If you know that 10, 24, 26 can be the sides of a right triangle, we've already found a solution. However, quadratics always have two solutions so we have to expand or show that x = 10 is the only solution.
Expanding, we get
We know x = 10 works, so factor this out:
where r is the other root. The constant term in our quadratic is -660, so 50r = -660, r = -66/5.