48=6x^2

Solution for 48=6x^2 equation:

Simplifying
48 = 6x2

Solving
48 = 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.
48 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
48 + -6x2 = 0

Add '-48' to each side of the equation.
48 + -48 + -6x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -6x2 = 0 + -48
-6x2 = 0 + -48

Combine like terms: 0 + -48 = -48
-6x2 = -48

Divide each side by '-6'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}