3a^2-6=0

Solution for 3a^2-6=0 equation:

Simplifying
3a2 + -6 = 0

Reorder the terms:
-6 + 3a2 = 0

Solving
-6 + 3a2 = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 3a2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3a2 = 0 + 6
3a2 = 0 + 6

Combine like terms: 0 + 6 = 6
3a2 = 6

Divide each side by '3'.
a2 = 2

Simplifying
a2 = 2

Take the square root of each side:
a = {-1.414213562, 1.414213562}