3a^2-75=0

Solution for 3a^2-75=0 equation:

Simplifying
3a2 + -75 = 0

Reorder the terms:
-75 + 3a2 = 0

Solving
-75 + 3a2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '75' to each side of the equation.
-75 + 75 + 3a2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 3a2 = 0 + 75
3a2 = 0 + 75

Combine like terms: 0 + 75 = 75
3a2 = 75

Divide each side by '3'.
a2 = 25

Simplifying
a2 = 25

Take the square root of each side:
a = {-5, 5}