How do you solve for x in the equation 23x^2 = 14?

To solve the equation 23x² = 14, you need to isolate x. Here’s how you can do it step by step:

1. Start with the equation: 23x² = 14.
2. Next, divide both sides of the equation by 23 to isolate x²:
3. x² = 14 / 23.
4. Now, simplify the right side:
5. x² = 14/23.
6. The next step is to take the square root of both sides:
7. x = ±√(14/23).
8. This gives you two possible solutions for x:
9. x = √(14/23) and x = -√(14/23).
10. Finally, you can approximate the values:
11. x ≈ 0.85 and x ≈ -0.85.

So, the final solutions for the equation are x = ±√(14/23).