Sunyam Samyasamuccaye: Solve Algebra by Observation

"Sunyam Samyasamuccaye" translates to, "When the sum is the same, that sum is zero." It's a powerful observation that allows us to solve certain equations instantly!

The "Same Sum" Rule ⚖️

"If the sum of the independent constant terms on both sides of an equation is the same, then the variable term (x) is equal to zero."

Example: (x + 7) + (x + 9) = (x + 6) + (x + 10)

1. Check the Common Term: 'x' appears on both sides.
2. Sum Constants (LHS): 7 + 9 = 16.
3. Sum Constants (RHS): 6 + 10 = 16.
4. Apply the Sutra: The sums are the same. Therefore, the variable part must be zero.
5. The Answer: We can immediately say that x = 0.