Sunyam Samya Samuccaye

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

i) We interpret, 'Samuccaya' as a term which occurs as a common factor in all
the terms concerned and proceed as follows.

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
 This is applicable not only for ‘x’ but also any such unknown quantity as follows.