6a^2-162=0

Solution for 6a^2-162=0 equation:

Simplifying
6a2 + -162 = 0

Reorder the terms:
-162 + 6a2 = 0

Solving
-162 + 6a2 = 0

Solving for variable 'a'.

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

Add '162' to each side of the equation.
-162 + 162 + 6a2 = 0 + 162

Combine like terms: -162 + 162 = 0
0 + 6a2 = 0 + 162
6a2 = 0 + 162

Combine like terms: 0 + 162 = 162
6a2 = 162

Divide each side by '6'.
a2 = 27

Simplifying
a2 = 27

Take the square root of each side:
a = {-5.196152423, 5.196152423}