To solve the equation \( x^2 + 7 = 16 \), follow these steps:

1. **Start with the given equation:**

   \[
   x^2 + 7 = 16
   \]

2. **Isolate \( x^2 \)** by subtracting 7 from both sides of the equation:

   \[
   x^2 = 16 - 7
   \]

   \[
   x^2 = 9
   \]

3. **Solve for \( x \)** by taking the square root of both sides. Remember to consider both the positive and negative square roots:

   \[
   x = \pm \sqrt{9}
   \]

   \[
   x = \pm 3
   \]

Thus, the solutions to the equation are:

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

Would you like more details or have any questions about this solution?

Here are some related questions to expand on this topic:

1. What are the solutions to the equation \( x^2 + 3 = 12 \)?
2. How do you solve the equation \( x^2 - 4 = 0 \)?
3. What is the general method for solving equations of the form \( x^2 + c = d \)?
4. How can you check if a solution to a quadratic equation is correct?
5. What happens if the right side of the equation \( x^2 + 7 = 16 \) is a negative number?

**Tip:** Always check your solutions by substituting them back into the original equation to verify that they satisfy it.

Learn how to solve the equation x^2 + 7 = 16 with a detailed step-by-step solution. This problem covers key algebraic concepts, including quadratic equations and solving techniques. Suitable for students in Grades 7-9.

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