3-x^2=2x^2+1

Solution for 3-x^2=2x^2+1 equation:

Simplifying
3 + -1x2 = 2x2 + 1

Reorder the terms:
3 + -1x2 = 1 + 2x2

Solving
3 + -1x2 = 1 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
3 + -1x2 + -2x2 = 1 + 2x2 + -2x2

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

Combine like terms: 2x2 + -2x2 = 0
3 + -3x2 = 1 + 0
3 + -3x2 = 1

Add '-3' to each side of the equation.
3 + -3 + -3x2 = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -3x2 = 1 + -3
-3x2 = 1 + -3

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

Divide each side by '-3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}