To solve the equation (x(x-1))/(x-1) = 0, you can follow these steps:
Look for any restrictions on the domain. In this case, x cannot be equal to 1 because it would result in division by zero.
Simplify the equation by canceling out the (x-1) terms in the numerator and denominator:
(x(x-1))/(x-1) = 0 x = 0
Check the solution. Substitute x = 0 back into the original equation:
(0(0-1))/(0-1) = 0 (0(-1))/(-1) = 0 0/(-1) = 0 0 = 0
Since the equation is true, x = 0 is indeed a solution.
Therefore, the solution to the equation (x(x-1))/(x-1) = 0 is x = 0.
