24=(x-4)*(x-4)*2

Solution for 24=(x-4)*(x-4)*2 equation:

Simplifying
24 = (x + -4)(x + -4) * 2

Reorder the terms:
24 = (-4 + x)(x + -4) * 2

Reorder the terms:
24 = (-4 + x)(-4 + x) * 2

Reorder the terms for easier multiplication:
24 = 2(-4 + x)(-4 + x)

Multiply (-4 + x) * (-4 + x)
24 = 2(-4(-4 + x) + x(-4 + x))
24 = 2((-4 * -4 + x * -4) + x(-4 + x))
24 = 2((16 + -4x) + x(-4 + x))
24 = 2(16 + -4x + (-4 * x + x * x))
24 = 2(16 + -4x + (-4x + x2))

Combine like terms: -4x + -4x = -8x
24 = 2(16 + -8x + x2)
24 = (16 * 2 + -8x * 2 + x2 * 2)
24 = (32 + -16x + 2x2)

Solving
24 = 32 + -16x + 2x2

Solving for variable 'x'.

Combine like terms: 24 + -32 = -8
-8 + 16x + -2x2 = 32 + -16x + 2x2 + -32 + 16x + -2x2

Reorder the terms:
-8 + 16x + -2x2 = 32 + -32 + -16x + 16x + 2x2 + -2x2

Combine like terms: 32 + -32 = 0
-8 + 16x + -2x2 = 0 + -16x + 16x + 2x2 + -2x2
-8 + 16x + -2x2 = -16x + 16x + 2x2 + -2x2

Combine like terms: -16x + 16x = 0
-8 + 16x + -2x2 = 0 + 2x2 + -2x2
-8 + 16x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8 + 16x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 8x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + 8x + -1x2)' equal to zero and attempt to solve:

Simplifying
-4 + 8x + -1x2 = 0

Solving
-4 + 8x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
4 + -8x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -8x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -8x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -8x + x2 = 0 + -4
-8x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-8x + x2 = -4

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -4 + 16

Reorder the terms:
16 + -8x + x2 = -4 + 16

Combine like terms: -4 + 16 = 12
16 + -8x + x2 = 12

Factor a perfect square on the left side:
(x + -4)(x + -4) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting 
(x + -4) equal to 3.464101615 and -3.464101615.

Subproblem 1
x + -4 = 3.464101615

Simplifying
x + -4 = 3.464101615

Reorder the terms:
-4 + x = 3.464101615

Solving
-4 + x = 3.464101615

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 3.464101615 + 4

Combine like terms: -4 + 4 = 0
0 + x = 3.464101615 + 4
x = 3.464101615 + 4

Combine like terms: 3.464101615 + 4 = 7.464101615
x = 7.464101615

Simplifying
x = 7.464101615

Subproblem 2
x + -4 = -3.464101615

Simplifying
x + -4 = -3.464101615

Reorder the terms:
-4 + x = -3.464101615

Solving
-4 + x = -3.464101615

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -3.464101615 + 4

Combine like terms: -4 + 4 = 0
0 + x = -3.464101615 + 4
x = -3.464101615 + 4

Combine like terms: -3.464101615 + 4 = 0.535898385
x = 0.535898385

Simplifying
x = 0.535898385

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.464101615, 0.535898385}
Solution
x = {7.464101615, 0.535898385}