Solve the equation by factoring. (Enter your answers as a comma-separated list.)
25 − 16x2 = 0
x = 
 

The given equation is:

\[
25 - 16x^2 = 0
\]

This is a difference of squares, which can be factored as:

\[
(a^2 - b^2) = (a - b)(a + b)
\]

Here, \( a^2 = 25 \) and \( b^2 = 16x^2 \). Therefore, we can rewrite the equation as:

\[
(5 - 4x)(5 + 4x) = 0
\]

To solve for \( x \), set each factor equal to zero:

1. \( 5 - 4x = 0 \)
   
   Solving for \( x \):

   \[
   4x = 5 \quad \Rightarrow \quad x = \frac{5}{4}
   \]

2. \( 5 + 4x = 0 \)
   
   Solving for \( x \):

   \[
   4x = -5 \quad \Rightarrow \quad x = \frac{-5}{4}
   \]

Thus, the solutions are:

\[
x = \frac{5}{4}, \, \frac{-5}{4}
\]

Do you want more details or have any questions?

Here are 5 related questions for further practice:
1. Solve \( x^2 - 9 = 0 \) by factoring.
2. Solve \( 4x^2 - 25 = 0 \) by factoring.
3. Solve \( 9x^2 - 1 = 0 \) by factoring.
4. Solve \( 16x^2 - 36 = 0 \) by factoring.
5. Solve \( 49x^2 - 64 = 0 \) by factoring.

**Tip:** Whenever you see a difference of squares, immediately think about factoring into \( (a - b)(a + b) \)!

Solve the equation by factoring. 25 − 16x^2 = 0

Learn how to solve the algebraic equation 25 - 16x^2 = 0 by factoring. This detailed explanation covers the concept of factoring a difference of squares and provides step-by-step guidance. Ideal for students in Grades 9-10.

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