=-2(x-5)(-2)(x)+(-2)(-5)-2x+10

Solution for =-2(x-5)(-2)(x)+(-2)(-5)-2x+10 equation:

Simplifying
0 = -2(x + -5)(-2)(x) + (-2)(-5) + -2x + 10

Reorder the terms:
0 = -2(-5 + x)(-2)(x) + (-2)(-5) + -2x + 10

Reorder the terms for easier multiplication:
0 = -2 * -2x(-5 + x) + (-2)(-5) + -2x + 10

Multiply -2 * -2
0 = 4x(-5 + x) + (-2)(-5) + -2x + 10
0 = (-5 * 4x + x * 4x) + (-2)(-5) + -2x + 10
0 = (-20x + 4x2) + (-2)(-5) + -2x + 10

Multiply -2 * -5
0 = -20x + 4x2 + 10 + -2x + 10

Reorder the terms:
0 = 10 + 10 + -20x + -2x + 4x2

Combine like terms: 10 + 10 = 20
0 = 20 + -20x + -2x + 4x2

Combine like terms: -20x + -2x = -22x
0 = 20 + -22x + 4x2

Solving
0 = 20 + -22x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -20 = -20
-20 + 22x + -4x2 = 20 + -22x + 4x2 + -20 + 22x + -4x2

Reorder the terms:
-20 + 22x + -4x2 = 20 + -20 + -22x + 22x + 4x2 + -4x2

Combine like terms: 20 + -20 = 0
-20 + 22x + -4x2 = 0 + -22x + 22x + 4x2 + -4x2
-20 + 22x + -4x2 = -22x + 22x + 4x2 + -4x2

Combine like terms: -22x + 22x = 0
-20 + 22x + -4x2 = 0 + 4x2 + -4x2
-20 + 22x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-20 + 22x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 11x + -2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-10 + 11x + -2x2)' equal to zero and attempt to solve:

Simplifying
-10 + 11x + -2x2 = 0

Solving
-10 + 11x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
5 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -5.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -5.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5.5x + x2 = 0 + -5
-5.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-5.5x + x2 = -5

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -5 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -5 + 7.5625

Combine like terms: -5 + 7.5625 = 2.5625
7.5625 + -5.5x + x2 = 2.5625

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = 2.5625

Calculate the square root of the right side: 1.600781059

Break this problem into two subproblems by setting 
(x + -2.75) equal to 1.600781059 and -1.600781059.

Subproblem 1
x + -2.75 = 1.600781059

Simplifying
x + -2.75 = 1.600781059

Reorder the terms:
-2.75 + x = 1.600781059

Solving
-2.75 + x = 1.600781059

Solving for variable 'x'.

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

Add '2.75' to each side of the equation.
-2.75 + 2.75 + x = 1.600781059 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + x = 1.600781059 + 2.75
x = 1.600781059 + 2.75

Combine like terms: 1.600781059 + 2.75 = 4.350781059
x = 4.350781059

Simplifying
x = 4.350781059

Subproblem 2
x + -2.75 = -1.600781059

Simplifying
x + -2.75 = -1.600781059

Reorder the terms:
-2.75 + x = -1.600781059

Solving
-2.75 + x = -1.600781059

Solving for variable 'x'.

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

Add '2.75' to each side of the equation.
-2.75 + 2.75 + x = -1.600781059 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + x = -1.600781059 + 2.75
x = -1.600781059 + 2.75

Combine like terms: -1.600781059 + 2.75 = 1.149218941
x = 1.149218941

Simplifying
x = 1.149218941

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.350781059, 1.149218941}
Solution
x = {4.350781059, 1.149218941}