-11+x=7x(8x-8)

Solution for -11+x=7x(8x-8) equation:

Simplifying
-11 + x = 7x(8x + -8)

Reorder the terms:
-11 + x = 7x(-8 + 8x)
-11 + x = (-8 * 7x + 8x * 7x)
-11 + x = (-56x + 56x2)

Solving
-11 + x = -56x + 56x2

Solving for variable 'x'.

Combine like terms: x + 56x = 57x
-11 + 57x + -56x2 = -56x + 56x2 + 56x + -56x2

Reorder the terms:
-11 + 57x + -56x2 = -56x + 56x + 56x2 + -56x2

Combine like terms: -56x + 56x = 0
-11 + 57x + -56x2 = 0 + 56x2 + -56x2
-11 + 57x + -56x2 = 56x2 + -56x2

Combine like terms: 56x2 + -56x2 = 0
-11 + 57x + -56x2 = 0

Begin completing the square.  Divide all terms by
-56 the coefficient of the squared term: 

Divide each side by '-56'.
0.1964285714 + -1.017857143x + x2 = 0

Move the constant term to the right:

Add '-0.1964285714' to each side of the equation.
0.1964285714 + -1.017857143x + -0.1964285714 + x2 = 0 + -0.1964285714

Reorder the terms:
0.1964285714 + -0.1964285714 + -1.017857143x + x2 = 0 + -0.1964285714

Combine like terms: 0.1964285714 + -0.1964285714 = 0.0000000000
0.0000000000 + -1.017857143x + x2 = 0 + -0.1964285714
-1.017857143x + x2 = 0 + -0.1964285714

Combine like terms: 0 + -0.1964285714 = -0.1964285714
-1.017857143x + x2 = -0.1964285714

The x term is -1.017857143x.  Take half its coefficient (-0.5089285715).
Square it (0.2590082909) and add it to both sides.

Add '0.2590082909' to each side of the equation.
-1.017857143x + 0.2590082909 + x2 = -0.1964285714 + 0.2590082909

Reorder the terms:
0.2590082909 + -1.017857143x + x2 = -0.1964285714 + 0.2590082909

Combine like terms: -0.1964285714 + 0.2590082909 = 0.0625797195
0.2590082909 + -1.017857143x + x2 = 0.0625797195

Factor a perfect square on the left side:
(x + -0.5089285715)(x + -0.5089285715) = 0.0625797195

Calculate the square root of the right side: 0.250159388

Break this problem into two subproblems by setting 
(x + -0.5089285715) equal to 0.250159388 and -0.250159388.

Subproblem 1
x + -0.5089285715 = 0.250159388

Simplifying
x + -0.5089285715 = 0.250159388

Reorder the terms:
-0.5089285715 + x = 0.250159388

Solving
-0.5089285715 + x = 0.250159388

Solving for variable 'x'.

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

Add '0.5089285715' to each side of the equation.
-0.5089285715 + 0.5089285715 + x = 0.250159388 + 0.5089285715

Combine like terms: -0.5089285715 + 0.5089285715 = 0.0000000000
0.0000000000 + x = 0.250159388 + 0.5089285715
x = 0.250159388 + 0.5089285715

Combine like terms: 0.250159388 + 0.5089285715 = 0.7590879595
x = 0.7590879595

Simplifying
x = 0.7590879595

Subproblem 2
x + -0.5089285715 = -0.250159388

Simplifying
x + -0.5089285715 = -0.250159388

Reorder the terms:
-0.5089285715 + x = -0.250159388

Solving
-0.5089285715 + x = -0.250159388

Solving for variable 'x'.

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

Add '0.5089285715' to each side of the equation.
-0.5089285715 + 0.5089285715 + x = -0.250159388 + 0.5089285715

Combine like terms: -0.5089285715 + 0.5089285715 = 0.0000000000
0.0000000000 + x = -0.250159388 + 0.5089285715
x = -0.250159388 + 0.5089285715

Combine like terms: -0.250159388 + 0.5089285715 = 0.2587691835
x = 0.2587691835

Simplifying
x = 0.2587691835

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.7590879595, 0.2587691835}