140=(12)(x)(x+2)

Solution for 140=(12)(x)(x+2) equation:

Simplifying
140 = (12)(x)(x + 2)

Reorder the terms:
140 = 12x(2 + x)
140 = (2 * 12x + x * 12x)
140 = (24x + 12x2)

Solving
140 = 24x + 12x2

Solving for variable 'x'.

Reorder the terms:
140 + -24x + -12x2 = 24x + -24x + 12x2 + -12x2

Combine like terms: 24x + -24x = 0
140 + -24x + -12x2 = 0 + 12x2 + -12x2
140 + -24x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
140 + -24x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -6x + -3x2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(35 + -6x + -3x2)' equal to zero and attempt to solve:

Simplifying
35 + -6x + -3x2 = 0

Solving
35 + -6x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-11.66666667 + 2x + x2 = 0

Move the constant term to the right:

Add '11.66666667' to each side of the equation.
-11.66666667 + 2x + 11.66666667 + x2 = 0 + 11.66666667

Reorder the terms:
-11.66666667 + 11.66666667 + 2x + x2 = 0 + 11.66666667

Combine like terms: -11.66666667 + 11.66666667 = 0.00000000
0.00000000 + 2x + x2 = 0 + 11.66666667
2x + x2 = 0 + 11.66666667

Combine like terms: 0 + 11.66666667 = 11.66666667
2x + x2 = 11.66666667

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 = 11.66666667 + 1

Reorder the terms:
1 + 2x + x2 = 11.66666667 + 1

Combine like terms: 11.66666667 + 1 = 12.66666667
1 + 2x + x2 = 12.66666667

Factor a perfect square on the left side:
(x + 1)(x + 1) = 12.66666667

Calculate the square root of the right side: 3.559026084

Break this problem into two subproblems by setting 
(x + 1) equal to 3.559026084 and -3.559026084.

Subproblem 1
x + 1 = 3.559026084

Simplifying
x + 1 = 3.559026084

Reorder the terms:
1 + x = 3.559026084

Solving
1 + x = 3.559026084

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 = 3.559026084 + -1

Combine like terms: 1 + -1 = 0
0 + x = 3.559026084 + -1
x = 3.559026084 + -1

Combine like terms: 3.559026084 + -1 = 2.559026084
x = 2.559026084

Simplifying
x = 2.559026084

Subproblem 2
x + 1 = -3.559026084

Simplifying
x + 1 = -3.559026084

Reorder the terms:
1 + x = -3.559026084

Solving
1 + x = -3.559026084

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 = -3.559026084 + -1

Combine like terms: 1 + -1 = 0
0 + x = -3.559026084 + -1
x = -3.559026084 + -1

Combine like terms: -3.559026084 + -1 = -4.559026084
x = -4.559026084

Simplifying
x = -4.559026084

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.559026084, -4.559026084}
Solution
x = {2.559026084, -4.559026084}