x^2-0.0079*(4-x)*(1-x)=0

Solution for x^2-0.0079*(4-x)*(1-x)=0 equation:

Simplifying
x2 + -0.0079(4 + -1x)(1 + -1x) = 0

Multiply (4 + -1x) * (1 + -1x)
x2 + -0.0079(4(1 + -1x) + -1x * (1 + -1x)) = 0
x2 + -0.0079((1 * 4 + -1x * 4) + -1x * (1 + -1x)) = 0
x2 + -0.0079((4 + -4x) + -1x * (1 + -1x)) = 0
x2 + -0.0079(4 + -4x + (1 * -1x + -1x * -1x)) = 0
x2 + -0.0079(4 + -4x + (-1x + 1x2)) = 0

Combine like terms: -4x + -1x = -5x
x2 + -0.0079(4 + -5x + 1x2) = 0
x2 + (4 * -0.0079 + -5x * -0.0079 + 1x2 * -0.0079) = 0
x2 + (-0.0316 + 0.0395x + -0.0079x2) = 0

Reorder the terms:
-0.0316 + 0.0395x + x2 + -0.0079x2 = 0

Combine like terms: x2 + -0.0079x2 = 0.9921x2
-0.0316 + 0.0395x + 0.9921x2 = 0

Solving
-0.0316 + 0.0395x + 0.9921x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.9921 the coefficient of the squared term: 

Divide each side by '0.9921'.
-0.03185162786 + 0.03981453483x + x2 = 0

Move the constant term to the right:

Add '0.03185162786' to each side of the equation.
-0.03185162786 + 0.03981453483x + 0.03185162786 + x2 = 0 + 0.03185162786

Reorder the terms:
-0.03185162786 + 0.03185162786 + 0.03981453483x + x2 = 0 + 0.03185162786

Combine like terms: -0.03185162786 + 0.03185162786 = 0.00000000000
0.00000000000 + 0.03981453483x + x2 = 0 + 0.03185162786
0.03981453483x + x2 = 0 + 0.03185162786

Combine like terms: 0 + 0.03185162786 = 0.03185162786
0.03981453483x + x2 = 0.03185162786

The x term is 0.03981453483x.  Take half its coefficient (0.01990726742).
Square it (0.0003962992961) and add it to both sides.

Add '0.0003962992961' to each side of the equation.
0.03981453483x + 0.0003962992961 + x2 = 0.03185162786 + 0.0003962992961

Reorder the terms:
0.0003962992961 + 0.03981453483x + x2 = 0.03185162786 + 0.0003962992961

Combine like terms: 0.03185162786 + 0.0003962992961 = 0.0322479271561
0.0003962992961 + 0.03981453483x + x2 = 0.0322479271561

Factor a perfect square on the left side:
(x + 0.01990726742)(x + 0.01990726742) = 0.0322479271561

Calculate the square root of the right side: 0.179577079

Break this problem into two subproblems by setting 
(x + 0.01990726742) equal to 0.179577079 and -0.179577079.

Subproblem 1
x + 0.01990726742 = 0.179577079

Simplifying
x + 0.01990726742 = 0.179577079

Reorder the terms:
0.01990726742 + x = 0.179577079

Solving
0.01990726742 + x = 0.179577079

Solving for variable 'x'.

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

Add '-0.01990726742' to each side of the equation.
0.01990726742 + -0.01990726742 + x = 0.179577079 + -0.01990726742

Combine like terms: 0.01990726742 + -0.01990726742 = 0.00000000000
0.00000000000 + x = 0.179577079 + -0.01990726742
x = 0.179577079 + -0.01990726742

Combine like terms: 0.179577079 + -0.01990726742 = 0.15966981158
x = 0.15966981158

Simplifying
x = 0.15966981158

Subproblem 2
x + 0.01990726742 = -0.179577079

Simplifying
x + 0.01990726742 = -0.179577079

Reorder the terms:
0.01990726742 + x = -0.179577079

Solving
0.01990726742 + x = -0.179577079

Solving for variable 'x'.

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

Add '-0.01990726742' to each side of the equation.
0.01990726742 + -0.01990726742 + x = -0.179577079 + -0.01990726742

Combine like terms: 0.01990726742 + -0.01990726742 = 0.00000000000
0.00000000000 + x = -0.179577079 + -0.01990726742
x = -0.179577079 + -0.01990726742

Combine like terms: -0.179577079 + -0.01990726742 = -0.19948434642
x = -0.19948434642

Simplifying
x = -0.19948434642

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.15966981158, -0.19948434642}