2(x^2+6)=44

Solution for 2(x^2+6)=44 equation:

Simplifying
2(x2 + 6) = 44

Reorder the terms:
2(6 + x2) = 44
(6 * 2 + x2 * 2) = 44
(12 + 2x2) = 44

Solving
12 + 2x2 = 44

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 2x2 = 44 + -12

Combine like terms: 12 + -12 = 0
0 + 2x2 = 44 + -12
2x2 = 44 + -12

Combine like terms: 44 + -12 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}