m^2+2m=-20

Solution for m^2+2m=-20 equation:

Simplifying
m2 + 2m = -20

Reorder the terms:
2m + m2 = -20

Solving
2m + m2 = -20

Solving for variable 'm'.

Reorder the terms:
20 + 2m + m2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 2m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 2m + -20 + m2 = 0 + -20

Reorder the terms:
20 + -20 + 2m + m2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 2m + m2 = 0 + -20
2m + m2 = 0 + -20

Combine like terms: 0 + -20 = -20
2m + m2 = -20

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

Add '1' to each side of the equation.
2m + 1 + m2 = -20 + 1

Reorder the terms:
1 + 2m + m2 = -20 + 1

Combine like terms: -20 + 1 = -19
1 + 2m + m2 = -19

Factor a perfect square on the left side:
(m + 1)(m + 1) = -19

Can't calculate square root of the right side.

The solution to this equation could not be determined.