r^2+r+1=-1

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

Simplifying
r2 + r + 1 = -1

Reorder the terms:
1 + r + r2 = -1

Solving
1 + r + r2 = -1

Solving for variable 'r'.

Reorder the terms:
1 + 1 + r + r2 = -1 + 1

Combine like terms: 1 + 1 = 2
2 + r + r2 = -1 + 1

Combine like terms: -1 + 1 = 0
2 + r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + r + -2 + r2 = 0 + -2

Reorder the terms:
2 + -2 + r + r2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + r + r2 = 0 + -2
r + r2 = 0 + -2

Combine like terms: 0 + -2 = -2
r + r2 = -2

The r term is r.  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.
r + 0.25 + r2 = -2 + 0.25

Reorder the terms:
0.25 + r + r2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + r + r2 = -1.75

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.