z^2+z=-2

Solution for z^2+z=-2 equation:

Simplifying
z2 + z = -2

Reorder the terms:
z + z2 = -2

Solving
z + z2 = -2

Solving for variable 'z'.

Reorder the terms:
2 + z + z2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + z + -2 + z2 = 0 + -2

Reorder the terms:
2 + -2 + z + z2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + z + z2 = 0 + -2
z + z2 = 0 + -2

Combine like terms: 0 + -2 = -2
z + z2 = -2

The z term is z.  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.
z + 0.25 + z2 = -2 + 0.25

Reorder the terms:
0.25 + z + z2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + z + z2 = -1.75

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.