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

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


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

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

Reorder the terms:
(9xy + -6x2 + 6x2y) = 0
(9xy + -6x2 + 6x2y) = 0

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

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(3y + -2x + 2xy) = 0

Ignore the factor 3.

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 '(3y + -2x + 2xy)' equal to zero and attempt to solve:

Simplifying
3y + -2x + 2xy = 0

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

Solving
-2x + 2xy + 3y = 0

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

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

Combine like terms: 3y + -3y = 0
-2x + 2xy + 0 = 0 + -3y
-2x + 2xy = 0 + -3y
Remove the zero:
-2x + 2xy = -3y

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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