864=6*x^2

Solution for 864=6*x^2 equation:

Simplifying
864 = 6x2

Solving
864 = 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
864 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
864 + -6x2 = 0

Add '-864' to each side of the equation.
864 + -864 + -6x2 = 0 + -864

Combine like terms: 864 + -864 = 0
0 + -6x2 = 0 + -864
-6x2 = 0 + -864

Combine like terms: 0 + -864 = -864
-6x2 = -864

Divide each side by '-6'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}