x^2-4x+4=2x-1-x^2

Solution for x^2-4x+4=2x-1-x^2 equation:

Simplifying
x2 + -4x + 4 = 2x + -1 + -1x2

Reorder the terms:
4 + -4x + x2 = 2x + -1 + -1x2

Reorder the terms:
4 + -4x + x2 = -1 + 2x + -1x2

Solving
4 + -4x + x2 = -1 + 2x + -1x2

Solving for variable 'x'.

Reorder the terms:
4 + 1 + -4x + -2x + x2 + x2 = -1 + 2x + -1x2 + 1 + -2x + x2

Combine like terms: 4 + 1 = 5
5 + -4x + -2x + x2 + x2 = -1 + 2x + -1x2 + 1 + -2x + x2

Combine like terms: -4x + -2x = -6x
5 + -6x + x2 + x2 = -1 + 2x + -1x2 + 1 + -2x + x2

Combine like terms: x2 + x2 = 2x2
5 + -6x + 2x2 = -1 + 2x + -1x2 + 1 + -2x + x2

Reorder the terms:
5 + -6x + 2x2 = -1 + 1 + 2x + -2x + -1x2 + x2

Combine like terms: -1 + 1 = 0
5 + -6x + 2x2 = 0 + 2x + -2x + -1x2 + x2
5 + -6x + 2x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
5 + -6x + 2x2 = 0 + -1x2 + x2
5 + -6x + 2x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + -6x + 2x2 = 0

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

Divide each side by '2'.
2.5 + -3x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -3x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -3x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -3x + x2 = 0 + -2.5
-3x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-3x + x2 = -2.5

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -2.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -2.5 + 2.25

Combine like terms: -2.5 + 2.25 = -0.25
2.25 + -3x + x2 = -0.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.