0.5x^2+0.5x+6=0

Solution for 0.5x^2+0.5x+6=0 equation:

Simplifying
0.5x2 + 0.5x + 6 = 0

Reorder the terms:
6 + 0.5x + 0.5x2 = 0

Solving
6 + 0.5x + 0.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.5'.
12 + x + x2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x + x2 = 0 + -12
x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
x + x2 = -12

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -12 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -12 + 0.25

Combine like terms: -12 + 0.25 = -11.75
1.25 + x2 = -11.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.