0.11x+0.7x(x-1)=0.01(4x-4)

Solution for 0.11x+0.7x(x-1)=0.01(4x-4) equation:

Simplifying
0.11x + 0.7x(x + -1) = 0.01(4x + -4)

Reorder the terms:
0.11x + 0.7x(-1 + x) = 0.01(4x + -4)
0.11x + (-1 * 0.7x + x * 0.7x) = 0.01(4x + -4)
0.11x + (-0.7x + 0.7x2) = 0.01(4x + -4)

Combine like terms: 0.11x + -0.7x = -0.59x
-0.59x + 0.7x2 = 0.01(4x + -4)

Reorder the terms:
-0.59x + 0.7x2 = 0.01(-4 + 4x)
-0.59x + 0.7x2 = (-4 * 0.01 + 4x * 0.01)
-0.59x + 0.7x2 = (-0.04 + 0.04x)

Solving
-0.59x + 0.7x2 = -0.04 + 0.04x

Solving for variable 'x'.

Reorder the terms:
0.04 + -0.59x + -0.04x + 0.7x2 = -0.04 + 0.04x + 0.04 + -0.04x

Combine like terms: -0.59x + -0.04x = -0.63x
0.04 + -0.63x + 0.7x2 = -0.04 + 0.04x + 0.04 + -0.04x

Reorder the terms:
0.04 + -0.63x + 0.7x2 = -0.04 + 0.04 + 0.04x + -0.04x

Combine like terms: -0.04 + 0.04 = 0.00
0.04 + -0.63x + 0.7x2 = 0.00 + 0.04x + -0.04x
0.04 + -0.63x + 0.7x2 = 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
0.04 + -0.63x + 0.7x2 = 0.00

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

Divide each side by '0.7'.
0.05714285714 + -0.9x + x2 = 0.0

Move the constant term to the right:

Add '-0.05714285714' to each side of the equation.
0.05714285714 + -0.9x + -0.05714285714 + x2 = 0.0 + -0.05714285714

Reorder the terms:
0.05714285714 + -0.05714285714 + -0.9x + x2 = 0.0 + -0.05714285714

Combine like terms: 0.05714285714 + -0.05714285714 = 0.00000000000
0.00000000000 + -0.9x + x2 = 0.0 + -0.05714285714
-0.9x + x2 = 0.0 + -0.05714285714

Combine like terms: 0.0 + -0.05714285714 = -0.05714285714
-0.9x + x2 = -0.05714285714

The x term is -0.9x.  Take half its coefficient (-0.45).
Square it (0.2025) and add it to both sides.

Add '0.2025' to each side of the equation.
-0.9x + 0.2025 + x2 = -0.05714285714 + 0.2025

Reorder the terms:
0.2025 + -0.9x + x2 = -0.05714285714 + 0.2025

Combine like terms: -0.05714285714 + 0.2025 = 0.14535714286
0.2025 + -0.9x + x2 = 0.14535714286

Factor a perfect square on the left side:
(x + -0.45)(x + -0.45) = 0.14535714286

Calculate the square root of the right side: 0.381257318

Break this problem into two subproblems by setting 
(x + -0.45) equal to 0.381257318 and -0.381257318.

Subproblem 1
x + -0.45 = 0.381257318

Simplifying
x + -0.45 = 0.381257318

Reorder the terms:
-0.45 + x = 0.381257318

Solving
-0.45 + x = 0.381257318

Solving for variable 'x'.

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

Add '0.45' to each side of the equation.
-0.45 + 0.45 + x = 0.381257318 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + x = 0.381257318 + 0.45
x = 0.381257318 + 0.45

Combine like terms: 0.381257318 + 0.45 = 0.831257318
x = 0.831257318

Simplifying
x = 0.831257318

Subproblem 2
x + -0.45 = -0.381257318

Simplifying
x + -0.45 = -0.381257318

Reorder the terms:
-0.45 + x = -0.381257318

Solving
-0.45 + x = -0.381257318

Solving for variable 'x'.

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

Add '0.45' to each side of the equation.
-0.45 + 0.45 + x = -0.381257318 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + x = -0.381257318 + 0.45
x = -0.381257318 + 0.45

Combine like terms: -0.381257318 + 0.45 = 0.068742682
x = 0.068742682

Simplifying
x = 0.068742682

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.831257318, 0.068742682}