x+x+1=(x)(x+1)+11

Solution for x+x+1=(x)(x+1)+11 equation:

Simplifying
x + x + 1 = (x)(x + 1) + 11

Reorder the terms:
1 + x + x = (x)(x + 1) + 11

Combine like terms: x + x = 2x
1 + 2x = (x)(x + 1) + 11

Reorder the terms:
1 + 2x = x(1 + x) + 11
1 + 2x = (1 * x + x * x) + 11
1 + 2x = (1x + x2) + 11

Reorder the terms:
1 + 2x = 11 + 1x + x2

Solving
1 + 2x = 11 + 1x + x2

Solving for variable 'x'.

Reorder the terms:
1 + -11 + 2x + -1x + -1x2 = 11 + 1x + x2 + -11 + -1x + -1x2

Combine like terms: 1 + -11 = -10
-10 + 2x + -1x + -1x2 = 11 + 1x + x2 + -11 + -1x + -1x2

Combine like terms: 2x + -1x = 1x
-10 + 1x + -1x2 = 11 + 1x + x2 + -11 + -1x + -1x2

Reorder the terms:
-10 + 1x + -1x2 = 11 + -11 + 1x + -1x + x2 + -1x2

Combine like terms: 11 + -11 = 0
-10 + 1x + -1x2 = 0 + 1x + -1x + x2 + -1x2
-10 + 1x + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
-10 + 1x + -1x2 = 0 + x2 + -1x2
-10 + 1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 1x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
10 + -1x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -1x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -1x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x + x2 = 0 + -10
-1x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1x + x2 = -10

The x term is -1x.  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.
-1x + 0.25 + x2 = -10 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -10 + 0.25

Combine like terms: -10 + 0.25 = -9.75
0.25 + -1x + x2 = -9.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.