56=(x-2)(x-2)(3.5)

Solution for 56=(x-2)(x-2)(3.5) equation:

Simplifying
56 = (x + -2)(x + -2)(3.5)

Reorder the terms:
56 = (-2 + x)(x + -2)(3.5)

Reorder the terms:
56 = (-2 + x)(-2 + x)(3.5)

Reorder the terms for easier multiplication:
56 = 3.5(-2 + x)(-2 + x)

Multiply (-2 + x) * (-2 + x)
56 = 3.5(-2(-2 + x) + x(-2 + x))
56 = 3.5((-2 * -2 + x * -2) + x(-2 + x))
56 = 3.5((4 + -2x) + x(-2 + x))
56 = 3.5(4 + -2x + (-2 * x + x * x))
56 = 3.5(4 + -2x + (-2x + x2))

Combine like terms: -2x + -2x = -4x
56 = 3.5(4 + -4x + x2)
56 = (4 * 3.5 + -4x * 3.5 + x2 * 3.5)
56 = (14 + -14x + 3.5x2)

Solving
56 = 14 + -14x + 3.5x2

Solving for variable 'x'.

Combine like terms: 56 + -14 = 42
42 + 14x + -3.5x2 = 14 + -14x + 3.5x2 + -14 + 14x + -3.5x2

Reorder the terms:
42 + 14x + -3.5x2 = 14 + -14 + -14x + 14x + 3.5x2 + -3.5x2

Combine like terms: 14 + -14 = 0
42 + 14x + -3.5x2 = 0 + -14x + 14x + 3.5x2 + -3.5x2
42 + 14x + -3.5x2 = -14x + 14x + 3.5x2 + -3.5x2

Combine like terms: -14x + 14x = 0
42 + 14x + -3.5x2 = 0 + 3.5x2 + -3.5x2
42 + 14x + -3.5x2 = 3.5x2 + -3.5x2

Combine like terms: 3.5x2 + -3.5x2 = 0.0
42 + 14x + -3.5x2 = 0.0

Begin completing the square.  Divide all terms by
-3.5 the coefficient of the squared term: 

Divide each side by '-3.5'.
-12 + -4x + x2 = 0

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -4x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -4x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -4x + x2 = 0 + 12
-4x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-4x + x2 = 12

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 12 + 4

Reorder the terms:
4 + -4x + x2 = 12 + 4

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

Factor a perfect square on the left side:
(x + -2)(x + -2) = 16

Calculate the square root of the right side: 4

Break this problem into two subproblems by setting 
(x + -2) equal to 4 and -4.

Subproblem 1
x + -2 = 4

Simplifying
x + -2 = 4

Reorder the terms:
-2 + x = 4

Solving
-2 + x = 4

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + x = 4 + 2
x = 4 + 2

Combine like terms: 4 + 2 = 6
x = 6

Simplifying
x = 6

Subproblem 2
x + -2 = -4

Simplifying
x + -2 = -4

Reorder the terms:
-2 + x = -4

Solving
-2 + x = -4

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -4 + 2

Combine like terms: -2 + 2 = 0
0 + x = -4 + 2
x = -4 + 2

Combine like terms: -4 + 2 = -2
x = -2

Simplifying
x = -2

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6, -2}