(2x+3y)(4x+6)=

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Solution for (2x+3y)(4x+6)= equation: 


Simplifying
(2x + 3y)(4x + 6) = 0

Reorder the terms:
(2x + 3y)(6 + 4x) = 0

Multiply (2x + 3y) * (6 + 4x)
(2x * (6 + 4x) + 3y * (6 + 4x)) = 0
((6 * 2x + 4x * 2x) + 3y * (6 + 4x)) = 0
((12x + 8x2) + 3y * (6 + 4x)) = 0
(12x + 8x2 + (6 * 3y + 4x * 3y)) = 0

Reorder the terms:
(12x + 8x2 + (12xy + 18y)) = 0
(12x + 8x2 + (12xy + 18y)) = 0

Reorder the terms:
(12x + 12xy + 8x2 + 18y) = 0
(12x + 12xy + 8x2 + 18y) = 0

Solving
12x + 12xy + 8x2 + 18y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6x + 6xy + 4x2 + 9y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6x + 6xy + 4x2 + 9y)' equal to zero and attempt to solve:

Simplifying
6x + 6xy + 4x2 + 9y = 0

Solving
6x + 6xy + 4x2 + 9y = 0

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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