Solve for the variable write your answers as integers or as proper or improper fractions in simplest form 3x^2-75=0

To solve the equation 3x^2 - 75 = 0:

Add 75 to both sides:
3x^2 = 75

Divide by 3 on both sides:
x^2 = 25

Take the square root of both sides:
x = ±5

Therefore, the solutions for the variable x are x = 5 and x = -5.