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

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


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

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

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

Multiply (2 + 3x) * (3 + x)
X(2(3 + x) + 3x * (3 + x)) = 0
X((3 * 2 + x * 2) + 3x * (3 + x)) = 0
X((6 + 2x) + 3x * (3 + x)) = 0
X(6 + 2x + (3 * 3x + x * 3x)) = 0
X(6 + 2x + (9x + 3x2)) = 0

Combine like terms: 2x + 9x = 11x
X(6 + 11x + 3x2) = 0
(6 * X + 11x * X + 3x2 * X) = 0
(6X + 11xX + 3x2X) = 0

Solving
6X + 11xX + 3x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(6 + 11x + 3x2) = 0

Factor a trinomial.
X((3 + x)(2 + 3x)) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Add '-1x' to each side of the equation.
x + -1x = -3 + -1x

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Add '-3x' to each side of the equation.
3x + -3x = -2 + -3x

Combine like terms: 3x + -3x = 0
0 = -2 + -3x

Simplifying
0 = -2 + -3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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