How to Solve for x in the Equation 2x² = 128?

To solve the equation 2x² = 128, we first need to isolate x. Here’s how we can do it step by step:

1. Start with the original equation:

   2x² = 128

2. Next, divide both sides of the equation by 2 to simplify it:

   x² = 64

3. Now, we need to find x by taking the square root of both sides:

   x = ±√64

4. Calculating the square root gives us:

   x = ±8

Thus, the solutions for x are 8 and -8. These values satisfy the original equation when substituted back into it:

When x = 8, 2(8)² = 2(64) = 128. And when x = -8, 2(-8)² = 2(64) = 128 as well.

Therefore, the final answer is:

x = 8 or x = -8