x^2-2x+1=-1

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

Simplifying
x2 + -2x + 1 = -1

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

Solving
1 + -2x + x2 = -1

Solving for variable 'x'.

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

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

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

Begin completing the square.

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.