(2x^2+1)=121

Solution for (2x^2+1)=121 equation:

Simplifying
(2x2 + 1) = 121

Reorder the terms:
(1 + 2x2) = 121

Remove parenthesis around (1 + 2x2)
1 + 2x2 = 121

Solving
1 + 2x2 = 121

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 2x2 = 121 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 121 + -1
2x2 = 121 + -1

Combine like terms: 121 + -1 = 120
2x2 = 120

Divide each side by '2'.
x2 = 60

Simplifying
x2 = 60

Take the square root of each side:
x = {-7.745966692, 7.745966692}