72=(3x-6)(2x)

Solution for 72=(3x-6)(2x) equation:

Simplifying
72 = (3x + -6)(2x)

Reorder the terms:
72 = (-6 + 3x)(2x)

Remove parenthesis around (2x)
72 = (-6 + 3x) * 2x

Reorder the terms for easier multiplication:
72 = 2x(-6 + 3x)
72 = (-6 * 2x + 3x * 2x)
72 = (-12x + 6x2)

Solving
72 = -12x + 6x2

Solving for variable 'x'.

Reorder the terms:
72 + 12x + -6x2 = -12x + 12x + 6x2 + -6x2

Combine like terms: -12x + 12x = 0
72 + 12x + -6x2 = 0 + 6x2 + -6x2
72 + 12x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
72 + 12x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(12 + 2x + -1x2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(12 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
12 + 2x + -1x2 = 0

Solving
12 + 2x + -1x2 = 0

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

Divide each side by '-1'.
-12 + -2x + x2 = 0

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -2x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -2x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -2x + x2 = 0 + 12
-2x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-2x + x2 = 12

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 12 + 1

Reorder the terms:
1 + -2x + x2 = 12 + 1

Combine like terms: 12 + 1 = 13
1 + -2x + x2 = 13

Factor a perfect square on the left side:
(x + -1)(x + -1) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(x + -1) equal to 3.605551275 and -3.605551275.

Subproblem 1
x + -1 = 3.605551275

Simplifying
x + -1 = 3.605551275

Reorder the terms:
-1 + x = 3.605551275

Solving
-1 + x = 3.605551275

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = 3.605551275 + 1

Combine like terms: -1 + 1 = 0
0 + x = 3.605551275 + 1
x = 3.605551275 + 1

Combine like terms: 3.605551275 + 1 = 4.605551275
x = 4.605551275

Simplifying
x = 4.605551275

Subproblem 2
x + -1 = -3.605551275

Simplifying
x + -1 = -3.605551275

Reorder the terms:
-1 + x = -3.605551275

Solving
-1 + x = -3.605551275

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = -3.605551275 + 1

Combine like terms: -1 + 1 = 0
0 + x = -3.605551275 + 1
x = -3.605551275 + 1

Combine like terms: -3.605551275 + 1 = -2.605551275
x = -2.605551275

Simplifying
x = -2.605551275

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.605551275, -2.605551275}
Solution
x = {4.605551275, -2.605551275}