To solve the equation 2x² - 4x = 0, we first need to factor out the common factor, which in this case is 2x:
1. 2x(x - 2) = 0
Now, we have a product of two terms equal to zero. According to the zero-product property, this means that at least one of the factors must equal zero for the whole expression to be zero.
2. Setting each factor to zero:
a. 2x = 0
b. x - 2 = 0
3. Solving for x in each case:
a. 2x = 0
x = 0
b. x - 2 = 0
x = 2
Therefore, the solutions for x are 0 and 2.
The correct answer choice is:
C. 0, 2
