solve:(x-2)(x-3)=0

To solve the given equation, we can apply 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 equal to zero.

So, we set each factor to zero and solve for x:

For x - 2 = 0:
x = 2

For x - 3 = 0:
x = 3

Therefore, the solutions to the equation (x - 2)(x - 3) = 0 are x = 2 and x = 3.