384=6a^2

Solution for 384=6a^2 equation:

Simplifying
384 = 6a2

Solving
384 = 6a2

Solving for variable 'a'.

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

Add '-6a2' to each side of the equation.
384 + -6a2 = 6a2 + -6a2

Combine like terms: 6a2 + -6a2 = 0
384 + -6a2 = 0

Add '-384' to each side of the equation.
384 + -384 + -6a2 = 0 + -384

Combine like terms: 384 + -384 = 0
0 + -6a2 = 0 + -384
-6a2 = 0 + -384

Combine like terms: 0 + -384 = -384
-6a2 = -384

Divide each side by '-6'.
a2 = 64

Simplifying
a2 = 64

Take the square root of each side:
a = {-8, 8}