3x^2-242=x^2

Solution for 3x^2-242=x^2 equation:

Simplifying
3x2 + -242 = x2

Reorder the terms:
-242 + 3x2 = x2

Solving
-242 + 3x2 = 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.
-242 + 3x2 + -1x2 = x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-242 + 2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-242 + 2x2 = 0

Add '242' to each side of the equation.
-242 + 242 + 2x2 = 0 + 242

Combine like terms: -242 + 242 = 0
0 + 2x2 = 0 + 242
2x2 = 0 + 242

Combine like terms: 0 + 242 = 242
2x2 = 242

Divide each side by '2'.
x2 = 121

Simplifying
x2 = 121

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