240=(x+2)(3X)

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


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

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

Remove parenthesis around (3X)
240 = (2 + x) * 3X

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

Solving
240 = 6X + 3xX

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
240 + -6X = 6X + -6X + 3xX

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

Add '-3xX' to each side of the equation.
240 + -6X + -3xX = 3xX + -3xX

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

Add '-240' to each side of the equation.
240 + -6X + -240 + -3xX = 0 + -240

Reorder the terms:
240 + -240 + -6X + -3xX = 0 + -240

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

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

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

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

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

Ignore the factor 3.

Subproblem 1

Set the factor '(80 + -2X + -1xX)' equal to zero and attempt to solve: Simplifying 80 + -2X + -1xX = 0 Solving 80 + -2X + -1xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -2X + -80 + -1xX = 0 + -80 Reorder the terms: 80 + -80 + -2X + -1xX = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -2X + -1xX = 0 + -80 -2X + -1xX = 0 + -80 Combine like terms: 0 + -80 = -80 -2X + -1xX = -80 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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