To solve the equation \(x^2 - 25 = 0\), follow these steps:

1. Start by isolating \(x^2\):
   \[
   x^2 = 25
   \]

2. Take the square root of both sides:
   \[
   x = \pm \sqrt{25}
   \]

3. Simplify the square root:
   \[
   x = \pm 5
   \]

Thus, the solutions are:
\[
x = 5 \quad \text{or} \quad x = -5
\]

Would you like more details or have any questions?

Here are some related questions to explore:
1. What is the process for solving quadratic equations by factoring?
2. How can I solve \(x^2 - 36 = 0\)?
3. What is the general form of a quadratic equation?
4. How do I use the quadratic formula for solving equations?
5. Can this equation be solved using graphing techniques?

**Tip**: Always check your solutions by substituting them back into the original equation to ensure they satisfy it!

Learn how to solve the quadratic equation x^2 - 25 = 0 by isolating x and applying square roots. This step-by-step guide demonstrates the use of basic algebraic methods, including factoring and applying the square root property. Suitable for students in Grades 7-9.

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