To solve the equation 2x(x - 1/7) = 0, we can use the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.

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

2x = 0
Dividing both sides by 2:
x = 0

x - 1/7 = 0
Adding 1/7 to both sides:
x = 1/7

Therefore, the solutions to the equation 2x(x - 1/7) = 0 are x = 0 and x = 1/7.