r^2+3r=-11

Solution for r^2+3r=-11 equation:

Simplifying
r2 + 3r = -11

Reorder the terms:
3r + r2 = -11

Solving
3r + r2 = -11

Solving for variable 'r'.

Reorder the terms:
11 + 3r + r2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + 3r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 3r + -11 + r2 = 0 + -11

Reorder the terms:
11 + -11 + 3r + r2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3r + r2 = 0 + -11
3r + r2 = 0 + -11

Combine like terms: 0 + -11 = -11
3r + r2 = -11

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 = -11 + 2.25

Reorder the terms:
2.25 + 3r + r2 = -11 + 2.25

Combine like terms: -11 + 2.25 = -8.75
2.25 + 3r + r2 = -8.75

Factor a perfect square on the left side:
(r + 1.5)(r + 1.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.