(X+2)(X)(3)=144

Solution for (X+2)(X)(3)=144 equation:

Simplifying
(X + 2)(X)(3) = 144

Reorder the terms:
(2 + X)(X)(3) = 144

Reorder the terms for easier multiplication:
3X(2 + X) = 144
(2 * 3X + X * 3X) = 144
(6X + 3X2) = 144

Solving
6X + 3X2 = 144

Solving for variable 'X'.

Reorder the terms:
-144 + 6X + 3X2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 6X + 3X2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-48 + 2X + X2) = 0

Factor a trinomial.
3((-8 + -1X)(6 + -1X)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-8 + -1X)' equal to zero and attempt to solve:

Simplifying
-8 + -1X = 0

Solving
-8 + -1X = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1X = 0 + 8
-1X = 0 + 8

Combine like terms: 0 + 8 = 8
-1X = 8

Divide each side by '-1'.
X = -8

Simplifying
X = -8
Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve:

Simplifying
6 + -1X = 0

Solving
6 + -1X = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = 0 + -6
-1X = 0 + -6

Combine like terms: 0 + -6 = -6
-1X = -6

Divide each side by '-1'.
X = 6

Simplifying
X = 6
Solution
X = {-8, 6}