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

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


Simplifying
x2 + 1 = -2x2 + 2

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

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

Solving
1 + x2 = 2 + -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.
1 + x2 + 2x2 = 2 + -2x2 + 2x2

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

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

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

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

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

Divide each side by '3'.
x2 = 0.3333333333

Simplifying
x2 = 0.3333333333

Take the square root of each side:
x = {-0.577350269, 0.577350269}

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