(x+5)(x-1)-2(x+1)+(x+11)=0

Solution for (x+5)(x-1)-2(x+1)+(x+11)=0 equation:

Simplifying
(x + 5)(x + -1) + -2(x + 1) + (x + 11) = 0

Reorder the terms:
(5 + x)(x + -1) + -2(x + 1) + (x + 11) = 0

Reorder the terms:
(5 + x)(-1 + x) + -2(x + 1) + (x + 11) = 0

Multiply (5 + x) * (-1 + x)
(5(-1 + x) + x(-1 + x)) + -2(x + 1) + (x + 11) = 0
((-1 * 5 + x * 5) + x(-1 + x)) + -2(x + 1) + (x + 11) = 0
((-5 + 5x) + x(-1 + x)) + -2(x + 1) + (x + 11) = 0
(-5 + 5x + (-1 * x + x * x)) + -2(x + 1) + (x + 11) = 0
(-5 + 5x + (-1x + x2)) + -2(x + 1) + (x + 11) = 0

Combine like terms: 5x + -1x = 4x
(-5 + 4x + x2) + -2(x + 1) + (x + 11) = 0

Reorder the terms:
-5 + 4x + x2 + -2(1 + x) + (x + 11) = 0
-5 + 4x + x2 + (1 * -2 + x * -2) + (x + 11) = 0
-5 + 4x + x2 + (-2 + -2x) + (x + 11) = 0

Reorder the terms:
-5 + 4x + x2 + -2 + -2x + (11 + x) = 0

Remove parenthesis around (11 + x)
-5 + 4x + x2 + -2 + -2x + 11 + x = 0

Reorder the terms:
-5 + -2 + 11 + 4x + -2x + x + x2 = 0

Combine like terms: -5 + -2 = -7
-7 + 11 + 4x + -2x + x + x2 = 0

Combine like terms: -7 + 11 = 4
4 + 4x + -2x + x + x2 = 0

Combine like terms: 4x + -2x = 2x
4 + 2x + x + x2 = 0

Combine like terms: 2x + x = 3x
4 + 3x + x2 = 0

Solving
4 + 3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 3x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 3x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x + x2 = 0 + -4
3x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3x + x2 = -4

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -4 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + 3x + x2 = -1.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.