25х^2-4=0

To solve the equation \( 25x^2 - 4 = 0 \), we can first isolate the \( x^2 \) term.

1. Add 4 to both sides: \[ 25x^2 = 4 \]

2. Next, divide both sides by 25: \[ x^2 = \frac{4}{25} \]

3. Now, take the square root of both sides: \[ x = \pm \sqrt{\frac{4}{25}} \]

4. Simplify the square root: \[ x = \pm \frac{2}{5} \]

Thus, the solutions to the equation \( 25x^2 - 4 = 0 \) are: \[ x = \frac{2}{5} \quad \text{and} \quad x = -\frac{2}{5} \]