When a mathematical problem simplifies to a statement that is always true, such as [tex]\(2 = 2\)[/tex], it indicates that the equation holds for any value of the variable(s) involved. This is known as an identity.
### Explanation:
- No Solution: This would occur if the equation simplifies to a statement that is never true, such as [tex]\(2 = 3\)[/tex].
- One Solution: This would happen if the equation simplifies to a specific statement that identifies a unique value for the variable, such as [tex]\(x = 5\)[/tex].
- Infinite Solution: This occurs when the equation simplifies to an always true statement, like [tex]\(2 = 2\)[/tex], implying the equation holds for all values of the variable(s).
In this case, the simplified statement [tex]\(2 = 2\)[/tex] is always true, meaning the original equation is an identity that holds for all values of the variable(s), leading to an infinite number of solutions.
Therefore, the answer is:
infinite solution
