X^2+6+X=-5

Solution for X^2+6+X=-5 equation:

Simplifying
X2 + 6 + X = -5

Reorder the terms:
6 + X + X2 = -5

Solving
6 + X + X2 = -5

Solving for variable 'X'.

Reorder the terms:
6 + 5 + X + X2 = -5 + 5

Combine like terms: 6 + 5 = 11
11 + X + X2 = -5 + 5

Combine like terms: -5 + 5 = 0
11 + X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + X + -11 + X2 = 0 + -11

Reorder the terms:
11 + -11 + X + X2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + X + X2 = 0 + -11
X + X2 = 0 + -11

Combine like terms: 0 + -11 = -11
X + X2 = -11

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.
X + 0.25 + X2 = -11 + 0.25

Reorder the terms:
0.25 + X + X2 = -11 + 0.25

Combine like terms: -11 + 0.25 = -10.75
0.25 + X + X2 = -10.75

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = -10.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.