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

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -1 + 1 = 0
5 + -4x + 2x2 = 0

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

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

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2x + x2 = 0 + -2.5
-2x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2x + x2 = -2.5

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 = -2.5 + 1

Reorder the terms:
1 + -2x + x2 = -2.5 + 1

Combine like terms: -2.5 + 1 = -1.5
1 + -2x + x2 = -1.5

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.