144=(x+2)(x)(5)

Solution for 144=(x+2)(x)(5) equation:

Simplifying
144 = (x + 2)(x)(5)

Reorder the terms:
144 = (2 + x)(x)(5)

Reorder the terms for easier multiplication:
144 = 5x(2 + x)
144 = (2 * 5x + x * 5x)
144 = (10x + 5x2)

Solving
144 = 10x + 5x2

Solving for variable 'x'.

Reorder the terms:
144 + -10x + -5x2 = 10x + -10x + 5x2 + -5x2

Combine like terms: 10x + -10x = 0
144 + -10x + -5x2 = 0 + 5x2 + -5x2
144 + -10x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
144 + -10x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
-28.8 + 2x + x2 = 0

Move the constant term to the right:

Add '28.8' to each side of the equation.
-28.8 + 2x + 28.8 + x2 = 0 + 28.8

Reorder the terms:
-28.8 + 28.8 + 2x + x2 = 0 + 28.8

Combine like terms: -28.8 + 28.8 = 0.0
0.0 + 2x + x2 = 0 + 28.8
2x + x2 = 0 + 28.8

Combine like terms: 0 + 28.8 = 28.8
2x + x2 = 28.8

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 = 28.8 + 1

Reorder the terms:
1 + 2x + x2 = 28.8 + 1

Combine like terms: 28.8 + 1 = 29.8
1 + 2x + x2 = 29.8

Factor a perfect square on the left side:
(x + 1)(x + 1) = 29.8

Calculate the square root of the right side: 5.458937626

Break this problem into two subproblems by setting 
(x + 1) equal to 5.458937626 and -5.458937626.

Subproblem 1
x + 1 = 5.458937626

Simplifying
x + 1 = 5.458937626

Reorder the terms:
1 + x = 5.458937626

Solving
1 + x = 5.458937626

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 = 5.458937626 + -1

Combine like terms: 1 + -1 = 0
0 + x = 5.458937626 + -1
x = 5.458937626 + -1

Combine like terms: 5.458937626 + -1 = 4.458937626
x = 4.458937626

Simplifying
x = 4.458937626

Subproblem 2
x + 1 = -5.458937626

Simplifying
x + 1 = -5.458937626

Reorder the terms:
1 + x = -5.458937626

Solving
1 + x = -5.458937626

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 = -5.458937626 + -1

Combine like terms: 1 + -1 = 0
0 + x = -5.458937626 + -1
x = -5.458937626 + -1

Combine like terms: -5.458937626 + -1 = -6.458937626
x = -6.458937626

Simplifying
x = -6.458937626

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.458937626, -6.458937626}