X^2-9=0

To solve the equation \( x^2 - 9 = 0 \), you can factor the left-hand side:

\[ x^2 - 9 = (x - 3)(x + 3) = 0 \]

Now, set each factor equal to zero:

1. \( x - 3 = 0 \) ⟹ \( x = 3 \)
2. \( x + 3 = 0 \) ⟹ \( x = -3 \)

Thus, the solutions to the equation \( x^2 - 9 = 0 \) are:

\[ x = 3 \quad \text{and} \quad x = -3 \]