3x(4y+12)=2y

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


Simplifying
3x(4y + 12) = 2y

Reorder the terms:
3x(12 + 4y) = 2y
(12 * 3x + 4y * 3x) = 2y
(36x + 12xy) = 2y

Solving
36x + 12xy = 2y

Solving for variable 'x'.

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

Combine like terms: 2y + -2y = 0
36x + 12xy + -2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18x + 6xy + -1y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18x + 6xy + -1y)' equal to zero and attempt to solve:

Simplifying
18x + 6xy + -1y = 0

Solving
18x + 6xy + -1y = 0

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

Add 'y' to each side of the equation.
18x + 6xy + -1y + y = 0 + y

Combine like terms: -1y + y = 0
18x + 6xy + 0 = 0 + y
18x + 6xy = 0 + y
Remove the zero:
18x + 6xy = y

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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