2(x^2+4)=76

Solution for 2(x^2+4)=76 equation:

Simplifying
2(x2 + 4) = 76

Reorder the terms:
2(4 + x2) = 76
(4 * 2 + x2 * 2) = 76
(8 + 2x2) = 76

Solving
8 + 2x2 = 76

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x2 = 76 + -8

Combine like terms: 8 + -8 = 0
0 + 2x2 = 76 + -8
2x2 = 76 + -8

Combine like terms: 76 + -8 = 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}