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

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


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

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

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

Multiply (2 + 3x) * (-2 + 3x)
X(2(-2 + 3x) + 3x * (-2 + 3x)) = 0
X((-2 * 2 + 3x * 2) + 3x * (-2 + 3x)) = 0
X((-4 + 6x) + 3x * (-2 + 3x)) = 0
X(-4 + 6x + (-2 * 3x + 3x * 3x)) = 0
X(-4 + 6x + (-6x + 9x2)) = 0

Combine like terms: 6x + -6x = 0
X(-4 + 0 + 9x2) = 0
X(-4 + 9x2) = 0
(-4 * X + 9x2 * X) = 0
(-4X + 9x2X) = 0

Solving
-4X + 9x2X = 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(-4 + 9x2) = 0

Factor a difference between two squares.
X((2 + 3x)(-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 '(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.

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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