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

To find the solutions to the equation (5x-2)(3-x) = 0, we can use the zero product property which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, we set each factor equal to zero:

1. Setting 5x - 2 = 0: 5x - 2 = 0 5x = 2 x = 2/5

2. Setting 3 - x = 0: 3 - x = 0 -x = -3 x = 3

Therefore, the solutions to the equation are x = 2/5 and x = 3.