(x+1)(11-7)=(x-1)(11x-3)

Solution for (x+1)(11-7)=(x-1)(11x-3) equation:

Simplifying
(x + 1)(11 + -7) = (x + -1)(11x + -3)

Reorder the terms:
(1 + x)(11 + -7) = (x + -1)(11x + -3)

Combine like terms: 11 + -7 = 4
(1 + x)(4) = (x + -1)(11x + -3)

Reorder the terms for easier multiplication:
4(1 + x) = (x + -1)(11x + -3)
(1 * 4 + x * 4) = (x + -1)(11x + -3)
(4 + 4x) = (x + -1)(11x + -3)

Reorder the terms:
4 + 4x = (-1 + x)(11x + -3)

Reorder the terms:
4 + 4x = (-1 + x)(-3 + 11x)

Multiply (-1 + x) * (-3 + 11x)
4 + 4x = (-1(-3 + 11x) + x(-3 + 11x))
4 + 4x = ((-3 * -1 + 11x * -1) + x(-3 + 11x))
4 + 4x = ((3 + -11x) + x(-3 + 11x))
4 + 4x = (3 + -11x + (-3 * x + 11x * x))
4 + 4x = (3 + -11x + (-3x + 11x2))

Combine like terms: -11x + -3x = -14x
4 + 4x = (3 + -14x + 11x2)

Solving
4 + 4x = 3 + -14x + 11x2

Solving for variable 'x'.

Reorder the terms:
4 + -3 + 4x + 14x + -11x2 = 3 + -14x + 11x2 + -3 + 14x + -11x2

Combine like terms: 4 + -3 = 1
1 + 4x + 14x + -11x2 = 3 + -14x + 11x2 + -3 + 14x + -11x2

Combine like terms: 4x + 14x = 18x
1 + 18x + -11x2 = 3 + -14x + 11x2 + -3 + 14x + -11x2

Reorder the terms:
1 + 18x + -11x2 = 3 + -3 + -14x + 14x + 11x2 + -11x2

Combine like terms: 3 + -3 = 0
1 + 18x + -11x2 = 0 + -14x + 14x + 11x2 + -11x2
1 + 18x + -11x2 = -14x + 14x + 11x2 + -11x2

Combine like terms: -14x + 14x = 0
1 + 18x + -11x2 = 0 + 11x2 + -11x2
1 + 18x + -11x2 = 11x2 + -11x2

Combine like terms: 11x2 + -11x2 = 0
1 + 18x + -11x2 = 0

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
-0.09090909091 + -1.636363636x + x2 = 0

Move the constant term to the right:

Add '0.09090909091' to each side of the equation.
-0.09090909091 + -1.636363636x + 0.09090909091 + x2 = 0 + 0.09090909091

Reorder the terms:
-0.09090909091 + 0.09090909091 + -1.636363636x + x2 = 0 + 0.09090909091

Combine like terms: -0.09090909091 + 0.09090909091 = 0.00000000000
0.00000000000 + -1.636363636x + x2 = 0 + 0.09090909091
-1.636363636x + x2 = 0 + 0.09090909091

Combine like terms: 0 + 0.09090909091 = 0.09090909091
-1.636363636x + x2 = 0.09090909091

The x term is -1.636363636x.  Take half its coefficient (-0.818181818).
Square it (0.6694214873) and add it to both sides.

Add '0.6694214873' to each side of the equation.
-1.636363636x + 0.6694214873 + x2 = 0.09090909091 + 0.6694214873

Reorder the terms:
0.6694214873 + -1.636363636x + x2 = 0.09090909091 + 0.6694214873

Combine like terms: 0.09090909091 + 0.6694214873 = 0.76033057821
0.6694214873 + -1.636363636x + x2 = 0.76033057821

Factor a perfect square on the left side:
(x + -0.818181818)(x + -0.818181818) = 0.76033057821

Calculate the square root of the right side: 0.871969368

Break this problem into two subproblems by setting 
(x + -0.818181818) equal to 0.871969368 and -0.871969368.

Subproblem 1
x + -0.818181818 = 0.871969368

Simplifying
x + -0.818181818 = 0.871969368

Reorder the terms:
-0.818181818 + x = 0.871969368

Solving
-0.818181818 + x = 0.871969368

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.818181818' to each side of the equation.
-0.818181818 + 0.818181818 + x = 0.871969368 + 0.818181818

Combine like terms: -0.818181818 + 0.818181818 = 0.000000000
0.000000000 + x = 0.871969368 + 0.818181818
x = 0.871969368 + 0.818181818

Combine like terms: 0.871969368 + 0.818181818 = 1.690151186
x = 1.690151186

Simplifying
x = 1.690151186

Subproblem 2
x + -0.818181818 = -0.871969368

Simplifying
x + -0.818181818 = -0.871969368

Reorder the terms:
-0.818181818 + x = -0.871969368

Solving
-0.818181818 + x = -0.871969368

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.818181818' to each side of the equation.
-0.818181818 + 0.818181818 + x = -0.871969368 + 0.818181818

Combine like terms: -0.818181818 + 0.818181818 = 0.000000000
0.000000000 + x = -0.871969368 + 0.818181818
x = -0.871969368 + 0.818181818

Combine like terms: -0.871969368 + 0.818181818 = -0.05378755
x = -0.05378755

Simplifying
x = -0.05378755

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.690151186, -0.05378755}