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

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


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

Remove parenthesis around (2xy)
2xy(3x + -2y + 2) = 0

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

Reorder the terms:
(4xy + -4xy2 + 6x2y) = 0
(4xy + -4xy2 + 6x2y) = 0

Solving
4xy + -4xy2 + 6x2y = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + -2y + 3x)' equal to zero and attempt to solve:

Simplifying
2 + -2y + 3x = 0

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

Solving
2 + 3x + -2y = 0

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

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

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

Combine like terms: 2 + -2 = 0
0 + 3x + -2y = 0 + -2
3x + -2y = 0 + -2

Combine like terms: 0 + -2 = -2
3x + -2y = -2

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

Combine like terms: -2y + 2y = 0
3x + 0 = -2 + 2y
3x = -2 + 2y

Divide each side by '3'.
x = -0.6666666667 + 0.6666666667y

Simplifying
x = -0.6666666667 + 0.6666666667y
Solution
x = {-0.6666666667 + 0.6666666667y}

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