To solve the equation \( 2x^2 = 50 \) for \( x \), follow these steps:

1. **Divide both sides by 2** to isolate \( x^2 \):
   \[
   x^2 = \frac{50}{2} = 25
   \]

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

3. **Simplify**:
   \[
   x = \pm 5
   \]

So, \( x = 5 \) or \( x = -5 \).

Would you like more details or have any questions?

Here are 5 related questions you could explore:
1. What if the equation was \( 3x^2 = 75 \)?
2. How do you solve \( x^2 = 36 \)?
3. What happens when you solve \( 2x^2 + 4 = 50 \)?
4. How do you graph the solutions of \( 2x^2 = 50 \)?
5. How does the solution change if the equation is \( 2x^2 = -50 \)?

**Tip:** Always check if you can simplify an equation before solving for the variable.

Learn how to solve the equation 2x² = 50 by dividing and using square roots. This problem introduces key algebraic concepts, such as quadratic equations and the square root property. Suitable for students in Grades 7-9.

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