2(x^2+2)=72

Solution for 2(x^2+2)=72 equation:

Simplifying
2(x2 + 2) = 72

Reorder the terms:
2(2 + x2) = 72
(2 * 2 + x2 * 2) = 72
(4 + 2x2) = 72

Solving
4 + 2x2 = 72

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x2 = 72 + -4

Combine like terms: 4 + -4 = 0
0 + 2x2 = 72 + -4
2x2 = 72 + -4

Combine like terms: 72 + -4 = 68
2x2 = 68

Divide each side by '2'.
x2 = 34

Simplifying
x2 = 34

Take the square root of each side:
x = {-5.830951895, 5.830951895}