=x^2-2x+2

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


Simplifying
0 = x2 + -2x + 2

Reorder the terms:
0 = 2 + -2x + x2

Solving
0 = 2 + -2x + x2

Solving for variable 'x'.

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

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

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

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

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -2x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2x + x2 = 0 + -2

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

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

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

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

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

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

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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