3x2-75=0

To solve the equation \( 3x^2 - 75 = 0 \), follow these steps:

1. Start by isolating \( x^2 \): \[ 3x^2 = 75 \]

2. Next, divide both sides by 3: \[ x^2 = \frac{75}{3} \] \[ x^2 = 25 \]

3. Now, take the square root of both sides: \[ x = \pm \sqrt{25} \] \[ x = \pm 5 \]

So the solutions to the equation \( 3x^2 - 75 = 0 \) are: \[ x = 5 \quad \text{and} \quad x = -5 \]