x^2=-x-2

Solution for x^2=-x-2 equation:

Simplifying
x2 = -1x + -2

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

Solving
x2 = -2 + -1x

Solving for variable 'x'.

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

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

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

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

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is x.  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 = -2 + 0.25

Reorder the terms:
0.25 + x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + x + x2 = -1.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.