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

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


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

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

Combine like terms: 2y + -6y = -4y
3x(3xy + -4y) = 0
(3xy * 3x + -4y * 3x) = 0

Reorder the terms:
(-12xy + 9x2y) = 0
(-12xy + 9x2y) = 0

Solving
-12xy + 9x2y = 0

Solving for variable 'x'.

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

Ignore the factor 3.

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 + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 0

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

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

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

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

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1.333333333}

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