6x^2+6=54

Solution for 6x^2+6=54 equation:

Simplifying
6x2 + 6 = 54

Reorder the terms:
6 + 6x2 = 54

Solving
6 + 6x2 = 54

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6x2 = 54 + -6

Combine like terms: 6 + -6 = 0
0 + 6x2 = 54 + -6
6x2 = 54 + -6

Combine like terms: 54 + -6 = 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}