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

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


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

Multiply (2x + 3y) * (x + 2y)
(2x * (x + 2y) + 3y * (x + 2y)) = 4
((x * 2x + 2y * 2x) + 3y * (x + 2y)) = 4

Reorder the terms:
((4xy + 2x2) + 3y * (x + 2y)) = 4
((4xy + 2x2) + 3y * (x + 2y)) = 4
(4xy + 2x2 + (x * 3y + 2y * 3y)) = 4
(4xy + 2x2 + (3xy + 6y2)) = 4

Reorder the terms:
(4xy + 3xy + 2x2 + 6y2) = 4

Combine like terms: 4xy + 3xy = 7xy
(7xy + 2x2 + 6y2) = 4

Solving
7xy + 2x2 + 6y2 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + 7xy + 2x2 + 6y2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 7xy + 2x2 + 6y2 = 0

The solution to this equation could not be determined.

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