12xy(3x+2y-4)=

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Solution for 12xy(3x+2y-4)= equation: 


Simplifying
12xy(3x + 2y + -4) = 0

Reorder the terms:
12xy(-4 + 3x + 2y) = 0
(-4 * 12xy + 3x * 12xy + 2y * 12xy) = 0

Reorder the terms:
(-48xy + 24xy2 + 36x2y) = 0
(-48xy + 24xy2 + 36x2y) = 0

Solving
-48xy + 24xy2 + 36x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12xy'.
12xy(-4 + 2y + 3x) = 0

Ignore the factor 12.

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 '(-4 + 2y + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 2y + 3x = 0

Reorder the terms:
-4 + 3x + 2y = 0

Solving
-4 + 3x + 2y = 0

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

Add '4' to each side of the equation.
-4 + 3x + 4 + 2y = 0 + 4

Reorder the terms:
-4 + 4 + 3x + 2y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x + 2y = 0 + 4
3x + 2y = 0 + 4

Combine like terms: 0 + 4 = 4
3x + 2y = 4

Add '-2y' to each side of the equation.
3x + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 4 + -2y
3x = 4 + -2y

Divide each side by '3'.
x = 1.333333333 + -0.6666666667y

Simplifying
x = 1.333333333 + -0.6666666667y
Solution
x = {1.333333333 + -0.6666666667y}

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