6(x^2+6)=60

Solution for 6(x^2+6)=60 equation:

Simplifying
6(x2 + 6) = 60

Reorder the terms:
6(6 + x2) = 60
(6 * 6 + x2 * 6) = 60
(36 + 6x2) = 60

Solving
36 + 6x2 = 60

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 6x2 = 60 + -36

Combine like terms: 36 + -36 = 0
0 + 6x2 = 60 + -36
6x2 = 60 + -36

Combine like terms: 60 + -36 = 24
6x2 = 24

Divide each side by '6'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}