The problem is to find the roots of the quadratic equation $4x^2 - 25x = 0$.

1. Problem Description

The problem is to find the roots of the quadratic equation $4x^2 - 25x = 0$.

2. Solution Steps

We are asked to solve the quadratic equation $4x^2 - 25x = 0$.

We can factor out an $x$ from the equation:

$x(4x - 25) = 0$

This means that either $x = 0$ or $4x - 25 = 0$.

If $x = 0$, we have one solution $x_1 = 0$.

If $4x - 25 = 0$, then $4x = 25$, so $x = \frac{25}{4}$.

Therefore, the second solution is $x_2 = \frac{25}{4}$.

3. Final Answer

The roots are $0, \frac{25}{4}$.