-5(-1-5x+5)(-8x-2)=-4x-8x

Solution for -5(-1-5x+5)(-8x-2)=-4x-8x equation:

Simplifying
-5(-1 + -5x + 5)(-8x + -2) = -4x + -8x

Reorder the terms:
-5(-1 + 5 + -5x)(-8x + -2) = -4x + -8x

Combine like terms: -1 + 5 = 4
-5(4 + -5x)(-8x + -2) = -4x + -8x

Reorder the terms:
-5(4 + -5x)(-2 + -8x) = -4x + -8x

Multiply (4 + -5x) * (-2 + -8x)
-5(4(-2 + -8x) + -5x * (-2 + -8x)) = -4x + -8x
-5((-2 * 4 + -8x * 4) + -5x * (-2 + -8x)) = -4x + -8x
-5((-8 + -32x) + -5x * (-2 + -8x)) = -4x + -8x
-5(-8 + -32x + (-2 * -5x + -8x * -5x)) = -4x + -8x
-5(-8 + -32x + (10x + 40x2)) = -4x + -8x

Combine like terms: -32x + 10x = -22x
-5(-8 + -22x + 40x2) = -4x + -8x
(-8 * -5 + -22x * -5 + 40x2 * -5) = -4x + -8x
(40 + 110x + -200x2) = -4x + -8x

Combine like terms: -4x + -8x = -12x
40 + 110x + -200x2 = -12x

Solving
40 + 110x + -200x2 = -12x

Solving for variable 'x'.

Reorder the terms:
40 + 110x + 12x + -200x2 = -12x + 12x

Combine like terms: 110x + 12x = 122x
40 + 122x + -200x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
40 + 122x + -200x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 61x + -100x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(20 + 61x + -100x2)' equal to zero and attempt to solve:

Simplifying
20 + 61x + -100x2 = 0

Solving
20 + 61x + -100x2 = 0

Begin completing the square.  Divide all terms by
-100 the coefficient of the squared term: 

Divide each side by '-100'.
-0.2 + -0.61x + x2 = 0.00

Move the constant term to the right:

Add '0.2' to each side of the equation.
-0.2 + -0.61x + 0.2 + x2 = 0.00 + 0.2

Reorder the terms:
-0.2 + 0.2 + -0.61x + x2 = 0.00 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.61x + x2 = 0.00 + 0.2
-0.61x + x2 = 0.00 + 0.2

Combine like terms: 0.00 + 0.2 = 0.2
-0.61x + x2 = 0.2

The x term is -0.61x.  Take half its coefficient (-0.305).
Square it (0.093025) and add it to both sides.

Add '0.093025' to each side of the equation.
-0.61x + 0.093025 + x2 = 0.2 + 0.093025

Reorder the terms:
0.093025 + -0.61x + x2 = 0.2 + 0.093025

Combine like terms: 0.2 + 0.093025 = 0.293025
0.093025 + -0.61x + x2 = 0.293025

Factor a perfect square on the left side:
(x + -0.305)(x + -0.305) = 0.293025

Calculate the square root of the right side: 0.541317836

Break this problem into two subproblems by setting 
(x + -0.305) equal to 0.541317836 and -0.541317836.

Subproblem 1
x + -0.305 = 0.541317836

Simplifying
x + -0.305 = 0.541317836

Reorder the terms:
-0.305 + x = 0.541317836

Solving
-0.305 + x = 0.541317836

Solving for variable 'x'.

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

Add '0.305' to each side of the equation.
-0.305 + 0.305 + x = 0.541317836 + 0.305

Combine like terms: -0.305 + 0.305 = 0.000
0.000 + x = 0.541317836 + 0.305
x = 0.541317836 + 0.305

Combine like terms: 0.541317836 + 0.305 = 0.846317836
x = 0.846317836

Simplifying
x = 0.846317836

Subproblem 2
x + -0.305 = -0.541317836

Simplifying
x + -0.305 = -0.541317836

Reorder the terms:
-0.305 + x = -0.541317836

Solving
-0.305 + x = -0.541317836

Solving for variable 'x'.

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

Add '0.305' to each side of the equation.
-0.305 + 0.305 + x = -0.541317836 + 0.305

Combine like terms: -0.305 + 0.305 = 0.000
0.000 + x = -0.541317836 + 0.305
x = -0.541317836 + 0.305

Combine like terms: -0.541317836 + 0.305 = -0.236317836
x = -0.236317836

Simplifying
x = -0.236317836

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.846317836, -0.236317836}
Solution
x = {0.846317836, -0.236317836}