X*(X+2)*3=240

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Solution for X*(X+2)*3=240 equation: 


Simplifying
X(X + 2) * 3 = 240

Reorder the terms:
X(2 + X) * 3 = 240

Reorder the terms for easier multiplication:
3X(2 + X) = 240
(2 * 3X + X * 3X) = 240
(6X + 3X2) = 240

Solving
6X + 3X2 = 240

Solving for variable 'X'.

Reorder the terms:
-240 + 6X + 3X2 = 240 + -240

Combine like terms: 240 + -240 = 0
-240 + 6X + 3X2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-80 + 2X + X2) = 0

Factor a trinomial.
3((-10 + -1X)(8 + -1X)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10 + -1X)' equal to zero and attempt to solve:

Simplifying
-10 + -1X = 0

Solving
-10 + -1X = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1X = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1X = 0 + 10
-1X = 0 + 10

Combine like terms: 0 + 10 = 10
-1X = 10

Divide each side by '-1'.
X = -10

Simplifying
X = -10

Subproblem 2
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
Solution
X = {-10, 8}

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