2x^2-240+x^2=3

Solution for 2x^2-240+x^2=3 equation:

Simplifying
2x2 + -240 + x2 = 3

Reorder the terms:
-240 + 2x2 + x2 = 3

Combine like terms: 2x2 + x2 = 3x2
-240 + 3x2 = 3

Solving
-240 + 3x2 = 3

Solving for variable 'x'.

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

Add '240' to each side of the equation.
-240 + 240 + 3x2 = 3 + 240

Combine like terms: -240 + 240 = 0
0 + 3x2 = 3 + 240
3x2 = 3 + 240

Combine like terms: 3 + 240 = 243
3x2 = 243

Divide each side by '3'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}