x(x+1)=-4

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

Simplifying
x(x + 1) = -4

Reorder the terms:
x(1 + x) = -4
(1 * x + x * x) = -4
(1x + x2) = -4

Solving
1x + x2 = -4

Solving for variable 'x'.

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

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

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 1x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 1x + x2 = 0 + -4

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

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

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -4 + 0.25

Reorder the terms:
0.25 + x + x2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + x + x2 = -3.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.