Let's solve the equation \( x^2 + 1 = 1 \).

### Step 1: Simplify the equation
Subtract 1 from both sides of the equation:

\[
x^2 + 1 - 1 = 1 - 1
\]

\[
x^2 = 0
\]

### Step 2: Solve for \( x \)
To solve for \( x \), take the square root of both sides:

\[
x = \sqrt{0} = 0
\]

### Solution:
The solution is:

\[
x = 0
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What happens if the equation was \( x^2 + 2 = 1 \)?
2. How do you solve equations of the form \( ax^2 + bx + c = 0 \)?
3. What are the general steps for solving quadratic equations?
4. What happens if \( x^2 = -1 \)? (Introducing imaginary numbers)
5. How do you graph \( x^2 + 1 = 1 \) and find the solution graphically?

**Tip**: Always check if you can simplify the equation before solving it, as this can make the process faster and easier.

Learn how to solve the equation x^2 + 1 = 1 through a step-by-step solution. This tutorial simplifies the equation to find the solution, highlighting important algebraic concepts such as quadratic equations and the square root property. Suitable for Grades 7-9.

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