0.5m^2+2m+2=0

Solution for 0.5m^2+2m+2=0 equation:

Simplifying
0.5m2 + 2m + 2 = 0

Reorder the terms:
2 + 2m + 0.5m2 = 0

Solving
2 + 2m + 0.5m2 = 0

Solving for variable 'm'.

Begin completing the square.  Divide all terms by
0.5 the coefficient of the squared term: 

Divide each side by '0.5'.
4 + 4m + m2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 4m + -4 + m2 = 0 + -4

Reorder the terms:
4 + -4 + 4m + m2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4m + m2 = 0 + -4
4m + m2 = 0 + -4

Combine like terms: 0 + -4 = -4
4m + m2 = -4

The m term is 4m.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4m + 4 + m2 = -4 + 4

Reorder the terms:
4 + 4m + m2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 4m + m2 = 0

Factor a perfect square on the left side:
(m + 2)(m + 2) = 0

Calculate the square root of the right side: 0

Break this problem into two subproblems by setting 
(m + 2) equal to 0 and 0.

Subproblem 1
m + 2 = 0

Simplifying
m + 2 = 0

Reorder the terms:
2 + m = 0

Solving
2 + m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

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

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

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

Simplifying
m = -2

Subproblem 2
m + 2 = 0

Simplifying
m + 2 = 0

Reorder the terms:
2 + m = 0

Solving
2 + m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

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

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

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

Simplifying
m = -2

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {-2, -2}