(2x-3)(3xy-2x)=

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Solution for (2x-3)(3xy-2x)= equation: 


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

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

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

Multiply (-3 + 2x) * (-2x + 3xy)
(-3(-2x + 3xy) + 2x * (-2x + 3xy)) = 0
((-2x * -3 + 3xy * -3) + 2x * (-2x + 3xy)) = 0
((6x + -9xy) + 2x * (-2x + 3xy)) = 0
(6x + -9xy + (-2x * 2x + 3xy * 2x)) = 0
(6x + -9xy + (-4x2 + 6x2y)) = 0
(6x + -9xy + -4x2 + 6x2y) = 0

Solving
6x + -9xy + -4x2 + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -9y + -4x + 6xy) = 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 '(6 + -9y + -4x + 6xy)' equal to zero and attempt to solve:

Simplifying
6 + -9y + -4x + 6xy = 0

Reorder the terms:
6 + -4x + 6xy + -9y = 0

Solving
6 + -4x + 6xy + -9y = 0

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

Add '-6' to each side of the equation.
6 + -4x + 6xy + -6 + -9y = 0 + -6

Reorder the terms:
6 + -6 + -4x + 6xy + -9y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4x + 6xy + -9y = 0 + -6
-4x + 6xy + -9y = 0 + -6

Combine like terms: 0 + -6 = -6
-4x + 6xy + -9y = -6

Add '9y' to each side of the equation.
-4x + 6xy + -9y + 9y = -6 + 9y

Combine like terms: -9y + 9y = 0
-4x + 6xy + 0 = -6 + 9y
-4x + 6xy = -6 + 9y

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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