.5m^2+2m+8=5

Solution for .5m^2+2m+8=5 equation:

Simplifying
0.5m2 + 2m + 8 = 5

Reorder the terms:
8 + 2m + 0.5m2 = 5

Solving
8 + 2m + 0.5m2 = 5

Solving for variable 'm'.

Reorder the terms:
8 + -5 + 2m + 0.5m2 = 5 + -5

Combine like terms: 8 + -5 = 3
3 + 2m + 0.5m2 = 5 + -5

Combine like terms: 5 + -5 = 0
3 + 2m + 0.5m2 = 0

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

Divide each side by '0.5'.
6 + 4m + m2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4m + -6 + m2 = 0 + -6

Reorder the terms:
6 + -6 + 4m + m2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4m + m2 = 0 + -6
4m + m2 = 0 + -6

Combine like terms: 0 + -6 = -6
4m + m2 = -6

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 = -6 + 4

Reorder the terms:
4 + 4m + m2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + 4m + m2 = -2

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.