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

Set each factor equal to zero:

1. 5x - 2 = 0
2. -x + 3 = 0

Solve for x:

1. 5x = 2 \implies x = \frac{2}{5}
2. -x = -3 \implies x = 3

The solutions are x = 2/5 and x = 3.