r^2+2r=-50

Solution for r^2+2r=-50 equation:

Simplifying
r2 + 2r = -50

Reorder the terms:
2r + r2 = -50

Solving
2r + r2 = -50

Solving for variable 'r'.

Reorder the terms:
50 + 2r + r2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + 2r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 2r + -50 + r2 = 0 + -50

Reorder the terms:
50 + -50 + 2r + r2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 2r + r2 = 0 + -50
2r + r2 = 0 + -50

Combine like terms: 0 + -50 = -50
2r + r2 = -50

The r term is 2r.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2r + 1 + r2 = -50 + 1

Reorder the terms:
1 + 2r + r2 = -50 + 1

Combine like terms: -50 + 1 = -49
1 + 2r + r2 = -49

Factor a perfect square on the left side:
(r + 1)(r + 1) = -49

Can't calculate square root of the right side.

The solution to this equation could not be determined.