240=(x+2)(x)(5)

Solution for 240=(x+2)(x)(5) equation:

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

Reorder the terms:
240 = (2 + x)(x)(5)

Reorder the terms for easier multiplication:
240 = 5x(2 + x)
240 = (2 * 5x + x * 5x)
240 = (10x + 5x2)

Solving
240 = 10x + 5x2

Solving for variable 'x'.

Reorder the terms:
240 + -10x + -5x2 = 10x + -10x + 5x2 + -5x2

Combine like terms: 10x + -10x = 0
240 + -10x + -5x2 = 0 + 5x2 + -5x2
240 + -10x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
240 + -10x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(48 + -2x + -1x2) = 0

Factor a trinomial.
5((6 + -1x)(8 + x)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

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