(2xy-3x)(6xy+9)=

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Solution for (2xy-3x)(6xy+9)= equation: 


Simplifying
(2xy + -3x)(6xy + 9) = 0

Reorder the terms:
(-3x + 2xy)(6xy + 9) = 0

Reorder the terms:
(-3x + 2xy)(9 + 6xy) = 0

Multiply (-3x + 2xy) * (9 + 6xy)
(-3x * (9 + 6xy) + 2xy * (9 + 6xy)) = 0
((9 * -3x + 6xy * -3x) + 2xy * (9 + 6xy)) = 0
((-27x + -18x2y) + 2xy * (9 + 6xy)) = 0
(-27x + -18x2y + (9 * 2xy + 6xy * 2xy)) = 0
(-27x + -18x2y + (18xy + 12x2y2)) = 0

Reorder the terms:
(-27x + 18xy + -18x2y + 12x2y2) = 0
(-27x + 18xy + -18x2y + 12x2y2) = 0

Solving
-27x + 18xy + -18x2y + 12x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-9 + 6y + -6xy + 4xy2) = 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 '(-9 + 6y + -6xy + 4xy2)' equal to zero and attempt to solve:

Simplifying
-9 + 6y + -6xy + 4xy2 = 0

Reorder the terms:
-9 + -6xy + 4xy2 + 6y = 0

Solving
-9 + -6xy + 4xy2 + 6y = 0

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

Add '9' to each side of the equation.
-9 + -6xy + 4xy2 + 9 + 6y = 0 + 9

Reorder the terms:
-9 + 9 + -6xy + 4xy2 + 6y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -6xy + 4xy2 + 6y = 0 + 9
-6xy + 4xy2 + 6y = 0 + 9

Combine like terms: 0 + 9 = 9
-6xy + 4xy2 + 6y = 9

Add '-6y' to each side of the equation.
-6xy + 4xy2 + 6y + -6y = 9 + -6y

Combine like terms: 6y + -6y = 0
-6xy + 4xy2 + 0 = 9 + -6y
-6xy + 4xy2 = 9 + -6y

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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