Solve for x:
5 x^2 - 34 x + 24 = 0
The left hand side factors into a product with two terms:
(x - 6) (5 x - 4) = 0
Split into two equations:
x - 6 = 0 or 5 x - 4 = 0
Add 6 to both sides:
x = 6 or 5 x - 4 = 0
Add 4 to both sides:
x = 6 or 5 x = 4
Divide both sides by 5:
x = 6 or x = 4/5