Sunyam Samyasamuccaye

The Sutra 'Sunyam Samyasamuccaye' is the same as Samuccaya is Zero.' i.e., it should be equated to zero. The term 'Samuccaya' has several meanings under different contexts.

We interpret, 'Samuccaya' as a term which occurs as a common factor in all the terms concerned and proceed as follow:

Example 1: The equation 7x + 3x = 4x + 5x has the same factor ‘x‘ in all its terms. Hence by the sutra it is zero, i.e., x = 0. Otherwise we have to work like this: 7x + 3x = 4x + 5x 10x = 9x 10x – 9x = 0 x = 0 .