16x^2-9=0

To solve the equation \(16x^2 - 9 = 0\), you can follow these steps:

1. Add 9 to both sides: \[ 16x^2 = 9 \]

2. Divide both sides by 16: \[ x^2 = \frac{9}{16} \]

3. Take the square root of both sides: \[ x = \pm \sqrt{\frac{9}{16}} \]

   This simplifies to: \[ x = \pm \frac{3}{4} \]

Thus, the solutions to the equation \(16x^2 - 9 = 0\) are: \[ x = \frac{3}{4} \quad \text{and} \quad x = -\frac{3}{4} \]