To solve the equation \(x^2 - 25 = 0\), we can factor it as follows:
\[ (x - 5)(x + 5) = 0 \]
Setting each factor equal to zero gives us:
- \(x - 5 = 0 \implies x = 5\)
- \(x + 5 = 0 \implies x = -5\)
Thus, the solutions are \(x = 5\) and \(x = -5\).
The correct responses are: -5 5