26=2(4x-1)2(x+4)

Solution for 26=2(4x-1)2(x+4) equation:

Simplifying
26 = 2(4x + -1) * 2(x + 4)

Reorder the terms:
26 = 2(-1 + 4x) * 2(x + 4)

Reorder the terms:
26 = 2(-1 + 4x) * 2(4 + x)

Reorder the terms for easier multiplication:
26 = 2 * 2(-1 + 4x)(4 + x)

Multiply 2 * 2
26 = 4(-1 + 4x)(4 + x)

Multiply (-1 + 4x) * (4 + x)
26 = 4(-1(4 + x) + 4x * (4 + x))
26 = 4((4 * -1 + x * -1) + 4x * (4 + x))
26 = 4((-4 + -1x) + 4x * (4 + x))
26 = 4(-4 + -1x + (4 * 4x + x * 4x))
26 = 4(-4 + -1x + (16x + 4x2))

Combine like terms: -1x + 16x = 15x
26 = 4(-4 + 15x + 4x2)
26 = (-4 * 4 + 15x * 4 + 4x2 * 4)
26 = (-16 + 60x + 16x2)

Solving
26 = -16 + 60x + 16x2

Solving for variable 'x'.

Combine like terms: 26 + 16 = 42
42 + -60x + -16x2 = -16 + 60x + 16x2 + 16 + -60x + -16x2

Reorder the terms:
42 + -60x + -16x2 = -16 + 16 + 60x + -60x + 16x2 + -16x2

Combine like terms: -16 + 16 = 0
42 + -60x + -16x2 = 0 + 60x + -60x + 16x2 + -16x2
42 + -60x + -16x2 = 60x + -60x + 16x2 + -16x2

Combine like terms: 60x + -60x = 0
42 + -60x + -16x2 = 0 + 16x2 + -16x2
42 + -60x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
42 + -60x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + -30x + -8x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(21 + -30x + -8x2)' equal to zero and attempt to solve:

Simplifying
21 + -30x + -8x2 = 0

Solving
21 + -30x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
-2.625 + 3.75x + x2 = 0

Move the constant term to the right:

Add '2.625' to each side of the equation.
-2.625 + 3.75x + 2.625 + x2 = 0 + 2.625

Reorder the terms:
-2.625 + 2.625 + 3.75x + x2 = 0 + 2.625

Combine like terms: -2.625 + 2.625 = 0.000
0.000 + 3.75x + x2 = 0 + 2.625
3.75x + x2 = 0 + 2.625

Combine like terms: 0 + 2.625 = 2.625
3.75x + x2 = 2.625

The x term is 3.75x.  Take half its coefficient (1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
3.75x + 3.515625 + x2 = 2.625 + 3.515625

Reorder the terms:
3.515625 + 3.75x + x2 = 2.625 + 3.515625

Combine like terms: 2.625 + 3.515625 = 6.140625
3.515625 + 3.75x + x2 = 6.140625

Factor a perfect square on the left side:
(x + 1.875)(x + 1.875) = 6.140625

Calculate the square root of the right side: 2.47802845

Break this problem into two subproblems by setting 
(x + 1.875) equal to 2.47802845 and -2.47802845.

Subproblem 1
x + 1.875 = 2.47802845

Simplifying
x + 1.875 = 2.47802845

Reorder the terms:
1.875 + x = 2.47802845

Solving
1.875 + x = 2.47802845

Solving for variable 'x'.

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

Add '-1.875' to each side of the equation.
1.875 + -1.875 + x = 2.47802845 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + x = 2.47802845 + -1.875
x = 2.47802845 + -1.875

Combine like terms: 2.47802845 + -1.875 = 0.60302845
x = 0.60302845

Simplifying
x = 0.60302845

Subproblem 2
x + 1.875 = -2.47802845

Simplifying
x + 1.875 = -2.47802845

Reorder the terms:
1.875 + x = -2.47802845

Solving
1.875 + x = -2.47802845

Solving for variable 'x'.

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

Add '-1.875' to each side of the equation.
1.875 + -1.875 + x = -2.47802845 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + x = -2.47802845 + -1.875
x = -2.47802845 + -1.875

Combine like terms: -2.47802845 + -1.875 = -4.35302845
x = -4.35302845

Simplifying
x = -4.35302845

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.60302845, -4.35302845}
Solution
x = {0.60302845, -4.35302845}