936=(2x-4)(x-6)

Solution for 936=(2x-4)(x-6) equation:

Simplifying
936 = (2x + -4)(x + -6)

Reorder the terms:
936 = (-4 + 2x)(x + -6)

Reorder the terms:
936 = (-4 + 2x)(-6 + x)

Multiply (-4 + 2x) * (-6 + x)
936 = (-4(-6 + x) + 2x * (-6 + x))
936 = ((-6 * -4 + x * -4) + 2x * (-6 + x))
936 = ((24 + -4x) + 2x * (-6 + x))
936 = (24 + -4x + (-6 * 2x + x * 2x))
936 = (24 + -4x + (-12x + 2x2))

Combine like terms: -4x + -12x = -16x
936 = (24 + -16x + 2x2)

Solving
936 = 24 + -16x + 2x2

Solving for variable 'x'.

Combine like terms: 936 + -24 = 912
912 + 16x + -2x2 = 24 + -16x + 2x2 + -24 + 16x + -2x2

Reorder the terms:
912 + 16x + -2x2 = 24 + -24 + -16x + 16x + 2x2 + -2x2

Combine like terms: 24 + -24 = 0
912 + 16x + -2x2 = 0 + -16x + 16x + 2x2 + -2x2
912 + 16x + -2x2 = -16x + 16x + 2x2 + -2x2

Combine like terms: -16x + 16x = 0
912 + 16x + -2x2 = 0 + 2x2 + -2x2
912 + 16x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
912 + 16x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(456 + 8x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(456 + 8x + -1x2)' equal to zero and attempt to solve:

Simplifying
456 + 8x + -1x2 = 0

Solving
456 + 8x + -1x2 = 0

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

Divide each side by '-1'.
-456 + -8x + x2 = 0

Move the constant term to the right:

Add '456' to each side of the equation.
-456 + -8x + 456 + x2 = 0 + 456

Reorder the terms:
-456 + 456 + -8x + x2 = 0 + 456

Combine like terms: -456 + 456 = 0
0 + -8x + x2 = 0 + 456
-8x + x2 = 0 + 456

Combine like terms: 0 + 456 = 456
-8x + x2 = 456

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 = 456 + 16

Reorder the terms:
16 + -8x + x2 = 456 + 16

Combine like terms: 456 + 16 = 472
16 + -8x + x2 = 472

Factor a perfect square on the left side:
(x + -4)(x + -4) = 472

Calculate the square root of the right side: 21.725560982

Break this problem into two subproblems by setting 
(x + -4) equal to 21.725560982 and -21.725560982.

Subproblem 1
x + -4 = 21.725560982

Simplifying
x + -4 = 21.725560982

Reorder the terms:
-4 + x = 21.725560982

Solving
-4 + x = 21.725560982

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 = 21.725560982 + 4

Combine like terms: -4 + 4 = 0
0 + x = 21.725560982 + 4
x = 21.725560982 + 4

Combine like terms: 21.725560982 + 4 = 25.725560982
x = 25.725560982

Simplifying
x = 25.725560982

Subproblem 2
x + -4 = -21.725560982

Simplifying
x + -4 = -21.725560982

Reorder the terms:
-4 + x = -21.725560982

Solving
-4 + x = -21.725560982

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 = -21.725560982 + 4

Combine like terms: -4 + 4 = 0
0 + x = -21.725560982 + 4
x = -21.725560982 + 4

Combine like terms: -21.725560982 + 4 = -17.725560982
x = -17.725560982

Simplifying
x = -17.725560982

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {25.725560982, -17.725560982}
Solution
x = {25.725560982, -17.725560982}