10x^2+10x+11=0

Solution for 10x^2+10x+11=0 equation:

Simplifying
10x2 + 10x + 11 = 0

Reorder the terms:
11 + 10x + 10x2 = 0

Solving
11 + 10x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
1.1 + x + x2 = 0

Move the constant term to the right:

Add '-1.1' to each side of the equation.
1.1 + x + -1.1 + x2 = 0 + -1.1

Reorder the terms:
1.1 + -1.1 + x + x2 = 0 + -1.1

Combine like terms: 1.1 + -1.1 = 0.0
0.0 + x + x2 = 0 + -1.1
x + x2 = 0 + -1.1

Combine like terms: 0 + -1.1 = -1.1
x + x2 = -1.1

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 = -1.1 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -1.1 + 0.25

Combine like terms: -1.1 + 0.25 = -0.85
1.25 + x2 = -0.85

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.85

Can't calculate square root of the right side.

The solution to this equation could not be determined.