x^2-2x+5=2-2x^2

Solution for x^2-2x+5=2-2x^2 equation:

Simplifying
x2 + -2x + 5 = 2 + -2x2

Reorder the terms:
5 + -2x + x2 = 2 + -2x2

Solving
5 + -2x + x2 = 2 + -2x2

Solving for variable 'x'.

Reorder the terms:
5 + -2 + -2x + x2 + 2x2 = 2 + -2x2 + -2 + 2x2

Combine like terms: 5 + -2 = 3
3 + -2x + x2 + 2x2 = 2 + -2x2 + -2 + 2x2

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

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

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

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

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6666666667x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6666666667x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6666666667x + x2 = 0 + -1
-0.6666666667x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6666666667x + x2 = -1

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -1 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -1 + 0.1111111112

Combine like terms: -1 + 0.1111111112 = -0.8888888888
0.1111111112 + -0.6666666667x + x2 = -0.8888888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.