2xy(3x+2y-9)=0

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Solution for 2xy(3x+2y-9)=0 equation: 


Simplifying
2xy(3x + 2y + -9) = 0

Reorder the terms:
2xy(-9 + 3x + 2y) = 0
(-9 * 2xy + 3x * 2xy + 2y * 2xy) = 0

Reorder the terms:
(-18xy + 4xy2 + 6x2y) = 0
(-18xy + 4xy2 + 6x2y) = 0

Solving
-18xy + 4xy2 + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-9 + 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 '(-9 + 2y + 3x)' equal to zero and attempt to solve:

Simplifying
-9 + 2y + 3x = 0

Reorder the terms:
-9 + 3x + 2y = 0

Solving
-9 + 3x + 2y = 0

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

Add '9' to each side of the equation.
-9 + 3x + 9 + 2y = 0 + 9

Reorder the terms:
-9 + 9 + 3x + 2y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 3x + 2y = 0 + 9
3x + 2y = 0 + 9

Combine like terms: 0 + 9 = 9
3x + 2y = 9

Add '-2y' to each side of the equation.
3x + 2y + -2y = 9 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 9 + -2y
3x = 9 + -2y

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

Simplifying
x = 3 + -0.6666666667y
Solution
x = {3 + -0.6666666667y}

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