Answer:
x = 2 and x = 1/2.
Explanation:
To solve (x-2)(2x-1) = 0, we need to find the values of x that make the left side of the equation equal to 0.
Using the zero product property, we know that if the product of two factors is equal to 0, then at least one of the factors must be equal to 0.
Therefore, we have two possible solutions:
1.x - 2 = 0, which gives us x = 2
2.2x - 1 = 0, which gives us x = 1/2
So, the solutions to the equation (x-2)(2x-1) = 0 are x = 2 and x = 1/2.