X(3x+9)(2x-2)=0

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Solution for X(3x+9)(2x-2)=0 equation: 


Simplifying
X(3x + 9)(2x + -2) = 0

Reorder the terms:
X(9 + 3x)(2x + -2) = 0

Reorder the terms:
X(9 + 3x)(-2 + 2x) = 0

Multiply (9 + 3x) * (-2 + 2x)
X(9(-2 + 2x) + 3x * (-2 + 2x)) = 0
X((-2 * 9 + 2x * 9) + 3x * (-2 + 2x)) = 0
X((-18 + 18x) + 3x * (-2 + 2x)) = 0
X(-18 + 18x + (-2 * 3x + 2x * 3x)) = 0
X(-18 + 18x + (-6x + 6x2)) = 0

Combine like terms: 18x + -6x = 12x
X(-18 + 12x + 6x2) = 0
(-18 * X + 12x * X + 6x2 * X) = 0
(-18X + 12xX + 6x2X) = 0

Solving
-18X + 12xX + 6x2X = 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), '6X'.
6X(-3 + 2x + x2) = 0

Factor a trinomial.
6X((-3 + -1x)(1 + -1x)) = 0

Ignore the factor 6.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

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

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

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

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

Simplifying
0 = 3 + x

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

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

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

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

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

Simplifying
0 = -1 + x

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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