r^2+3r+3=0

Solution for r^2+3r+3=0 equation:

Simplifying
r2 + 3r + 3 = 0

Reorder the terms:
3 + 3r + r2 = 0

Solving
3 + 3r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 3r + -3 + r2 = 0 + -3

Reorder the terms:
3 + -3 + 3r + r2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3r + r2 = 0 + -3
3r + r2 = 0 + -3

Combine like terms: 0 + -3 = -3
3r + r2 = -3

The r term is 3r.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3r + 2.25 + r2 = -3 + 2.25

Reorder the terms:
2.25 + 3r + r2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + 3r + r2 = -0.75

Factor a perfect square on the left side:
(r + 1.5)(r + 1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.