(x-1)(x+2)=-4-x

Solution for (x-1)(x+2)=-4-x equation:

Simplifying
(x + -1)(x + 2) = -4 + -1x

Reorder the terms:
(-1 + x)(x + 2) = -4 + -1x

Reorder the terms:
(-1 + x)(2 + x) = -4 + -1x

Multiply (-1 + x) * (2 + x)
(-1(2 + x) + x(2 + x)) = -4 + -1x
((2 * -1 + x * -1) + x(2 + x)) = -4 + -1x
((-2 + -1x) + x(2 + x)) = -4 + -1x
(-2 + -1x + (2 * x + x * x)) = -4 + -1x
(-2 + -1x + (2x + x2)) = -4 + -1x

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

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

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -1x + x = 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.