2(x^2+4)=100

Solution for 2(x^2+4)=100 equation:

Simplifying
2(x2 + 4) = 100

Reorder the terms:
2(4 + x2) = 100
(4 * 2 + x2 * 2) = 100
(8 + 2x2) = 100

Solving
8 + 2x2 = 100

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 = 100 + -8

Combine like terms: 8 + -8 = 0
0 + 2x2 = 100 + -8
2x2 = 100 + -8

Combine like terms: 100 + -8 = 92
2x2 = 92

Divide each side by '2'.
x2 = 46

Simplifying
x2 = 46

Take the square root of each side:
x = {-6.782329983, 6.782329983}