2x^2-121=x^2

Solution for 2x^2-121=x^2 equation:

Simplifying
2x2 + -121 = x2

Reorder the terms:
-121 + 2x2 = x2

Solving
-121 + 2x2 = x2

Solving for variable 'x'.

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

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

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

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

Add '121' to each side of the equation.
-121 + 121 + 1x2 = 0 + 121

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

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

Divide each side by '1'.
x2 = 121

Simplifying
x2 = 121

Take the square root of each side:
x = {-11, 11}