(x-1)(x-1)=-4

Solution for (x-1)(x-1)=-4 equation:

Simplifying
(x + -1)(x + -1) = -4

Reorder the terms:
(-1 + x)(x + -1) = -4

Reorder the terms:
(-1 + x)(-1 + x) = -4

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) = -4
((-1 * -1 + x * -1) + x(-1 + x)) = -4
((1 + -1x) + x(-1 + x)) = -4
(1 + -1x + (-1 * x + x * x)) = -4
(1 + -1x + (-1x + x2)) = -4

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

Solving
1 + -2x + x2 = -4

Solving for variable 'x'.

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

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

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

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -2x + x2 = 0 + -5

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

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

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

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

Factor a perfect square on the left side:
(x + -1)(x + -1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.