6x^2-78=0

Solution for 6x^2-78=0 equation:

Simplifying
6x2 + -78 = 0

Reorder the terms:
-78 + 6x2 = 0

Solving
-78 + 6x2 = 0

Solving for variable 'x'.

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

Add '78' to each side of the equation.
-78 + 78 + 6x2 = 0 + 78

Combine like terms: -78 + 78 = 0
0 + 6x2 = 0 + 78
6x2 = 0 + 78

Combine like terms: 0 + 78 = 78
6x2 = 78

Divide each side by '6'.
x2 = 13

Simplifying
x2 = 13

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