X^2+X+1=-1

Solution for X^2+X+1=-1 equation:

Simplifying
X2 + X + 1 = -1

Reorder the terms:
1 + X + X2 = -1

Solving
1 + X + X2 = -1

Solving for variable 'X'.

Reorder the terms:
1 + 1 + X + X2 = -1 + 1

Combine like terms: 1 + 1 = 2
2 + X + X2 = -1 + 1

Combine like terms: -1 + 1 = 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.