The problem asks to find all the roots of the equation $16x^2 - 25 = 0$.

1. Problem Description

The problem asks to find all the roots of the equation $16x^2 - 25 = 0$.

2. Solution Steps

The given equation is $16x^2 - 25 = 0$. We can solve this equation by isolating $x^2$ and then taking the square root of both sides.

First, add 25 to both sides of the equation:

$16x^2 = 25$

Next, divide both sides by 16:

$x^2 = \frac{25}{16}$

Now, take the square root of both sides:

$x = \pm \sqrt{\frac{25}{16}}$

$x = \pm \frac{\sqrt{25}}{\sqrt{16}}$

$x = \pm \frac{5}{4}$

Thus, the roots are $x = \frac{5}{4}$ and $x = -\frac{5}{4}$.

3. Final Answer

The roots are $\frac{5}{4}, -\frac{5}{4}$.