[-3x(2xy+3y-2x)]=0

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Solution for [-3x(2xy+3y-2x)]=0 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
[-9xy + 6x2 + -6x2y] = 0

Remove brackets around [-9xy + 6x2 + -6x2y]
-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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