To solve the equation \( 16x^2 = 25 \):

1. Divide both sides of the equation by 16 to isolate \( x^2 \):
   \[
   x^2 = \frac{25}{16}
   \]

2. Take the square root of both sides to solve for \( x \). Remember that the square root can be both positive and negative:
   \[
   x = \pm \sqrt{\frac{25}{16}}
   \]

3. Simplify the square root:
   \[
   x = \pm \frac{5}{4}
   \]

So, the solutions are:
\[
x = \frac{5}{4} \quad \text{or} \quad x = -\frac{5}{4}
\]

Would you like any more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would you solve the equation \( 9x^2 = 36 \)?
2. What is the result if you solve \( 4x^2 = 49 \)?
3. Can you solve \( 25x^2 = 100 \) for \( x \)?
4. What happens if you have the equation \( x^2 = 81 \)?
5. How do you solve \( 2x^2 = 8 \) for \( x \)?

**Tip:** When solving equations involving squares, always remember to consider both the positive and negative roots.

Discover how to solve the quadratic equation 16x^2 = 25 with a clear, step-by-step solution. This guide covers key algebraic concepts, including isolating the variable and taking square roots. Perfect for students in Grades 8-10.

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