(5x-2)(3-x)=0

Use the zero-product property.

(5x - 2)(3 - x) = 0 implies either:

• 5x - 2 = 0 → x = 2/5
• 3 - x = 0 → x = 3

So the solution set is x = 2/5 or x = 3.

(Equivalent path: expand to -5x^2 + 17x - 6 = 0, multiply by -1 to 5x^2 - 17x + 6 = 0, which factors as (5x - 2)(x - 3) = 0.)