Problem Solving

Hello,

Can someone opine on the solution to the below problem:

If xy + z = x(y + z), which of the following must be true?

1. x = 0 and z = 0
2. x = 1 and y = 1
3. y = 1 and z = 0
4. x = 1 or y = 0
5. x = 1 or z = 0

Ans : E

Thanks.