240=(x+2)(x)(3)

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Solution for 240=(x+2)(x)(3) equation: 


Simplifying
240 = (x + 2)(x)(3)

Reorder the terms:
240 = (2 + x)(x)(3)

Reorder the terms for easier multiplication:
240 = 3x(2 + x)
240 = (2 * 3x + x * 3x)
240 = (6x + 3x2)

Solving
240 = 6x + 3x2

Solving for variable 'x'.

Reorder the terms:
240 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
240 + -6x + -3x2 = 0 + 3x2 + -3x2
240 + -6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
240 + -6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(80 + -2x + -1x2) = 0

Factor a trinomial.
3((8 + -1x)(10 + x)) = 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {8, -10}

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