78=6a^2

Solution for 78=6a^2 equation:

Simplifying
78 = 6a2

Solving
78 = 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.
78 + -6a2 = 6a2 + -6a2

Combine like terms: 6a2 + -6a2 = 0
78 + -6a2 = 0

Add '-78' to each side of the equation.
78 + -78 + -6a2 = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -6a2 = 0 + -78
-6a2 = 0 + -78

Combine like terms: 0 + -78 = -78
-6a2 = -78

Divide each side by '-6'.
a2 = 13

Simplifying
a2 = 13

Take the square root of each side:
a = {-3.605551275, 3.605551275}