(3x+3)(2X+1)=0

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Solution for (3x+3)(2X+1)=0 equation:


Simplifying
(3x + 3)(2X + 1) = 0

Reorder the terms:
(3 + 3x)(2X + 1) = 0

Reorder the terms:
(3 + 3x)(1 + 2X) = 0

Multiply (3 + 3x) * (1 + 2X)
(3(1 + 2X) + 3x * (1 + 2X)) = 0
((1 * 3 + 2X * 3) + 3x * (1 + 2X)) = 0
((3 + 6X) + 3x * (1 + 2X)) = 0
(3 + 6X + (1 * 3x + 2X * 3x)) = 0
(3 + 6X + (3x + 6xX)) = 0
(3 + 6X + 3x + 6xX) = 0

Solving
3 + 6X + 3x + 6xX = 0

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

Ignore the factor 3.

Subproblem 1

Set the factor '(1 + 2X + x + 2xX)' equal to zero and attempt to solve: Simplifying 1 + 2X + x + 2xX = 0 Solving 1 + 2X + x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2X + x + -1 + 2xX = 0 + -1 Reorder the terms: 1 + -1 + 2X + x + 2xX = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X + x + 2xX = 0 + -1 2X + x + 2xX = 0 + -1 Combine like terms: 0 + -1 = -1 2X + x + 2xX = -1 Add '-1x' to each side of the equation. 2X + x + -1x + 2xX = -1 + -1x Combine like terms: x + -1x = 0 2X + 0 + 2xX = -1 + -1x 2X + 2xX = -1 + -1x 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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