For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: X $ X = 0 for all X , X $ (Y $ Z) = X $ Y + Z Find the Value of 2012 $ 0 + 2012 $ 1912 ?

For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: ” X $ X = 0 for all X ” X $ (Y $ Z) = X $ Y + Z Find the Value of 2012 $ 0 + 2012 $ 1912 ?