X^2-9=0

To solve the equation \( x^2 - 9 = 0 \), we can start by factoring the expression.

The equation can be factored as:

\[ (x - 3)(x + 3) = 0 \]

Next, we apply the zero product property, which states that if the product of two factors equals zero, at least one of the factors must equal zero. Thus, we set each factor to zero:

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

Solving each equation gives:

1. \( x = 3 \)
2. \( x = -3 \)

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

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