x^2+x+1=-.5

Solution for x^2+x+1=-.5 equation:

Simplifying
x2 + x + 1 = -0.5

Reorder the terms:
1 + x + x2 = -0.5

Solving
1 + x + x2 = -0.5

Solving for variable 'x'.

Reorder the terms:
1 + 0.5 + x + x2 = -0.5 + 0.5

Combine like terms: 1 + 0.5 = 1.5
1.5 + x + x2 = -0.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
1.5 + x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + x + -1.5 + x2 = 0.0 + -1.5

Reorder the terms:
1.5 + -1.5 + x + x2 = 0.0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x + x2 = 0.0 + -1.5
x + x2 = 0.0 + -1.5

Combine like terms: 0.0 + -1.5 = -1.5
x + x2 = -1.5

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 = -1.5 + 0.25

Reorder the terms:
0.25 + x + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + x + x2 = -1.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.