2(x^2+1)=52

Solution for 2(x^2+1)=52 equation:

Simplifying
2(x2 + 1) = 52

Reorder the terms:
2(1 + x2) = 52
(1 * 2 + x2 * 2) = 52
(2 + 2x2) = 52

Solving
2 + 2x2 = 52

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x2 = 52 + -2

Combine like terms: 2 + -2 = 0
0 + 2x2 = 52 + -2
2x2 = 52 + -2

Combine like terms: 52 + -2 = 50
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}