(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.