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

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


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

Multiply (2x + 3y) * (x + 3y)
(2x * (x + 3y) + 3y * (x + 3y)) = 12
((x * 2x + 3y * 2x) + 3y * (x + 3y)) = 12

Reorder the terms:
((6xy + 2x2) + 3y * (x + 3y)) = 12
((6xy + 2x2) + 3y * (x + 3y)) = 12
(6xy + 2x2 + (x * 3y + 3y * 3y)) = 12
(6xy + 2x2 + (3xy + 9y2)) = 12

Reorder the terms:
(6xy + 3xy + 2x2 + 9y2) = 12

Combine like terms: 6xy + 3xy = 9xy
(9xy + 2x2 + 9y2) = 12

Solving
9xy + 2x2 + 9y2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + 9xy + 2x2 + 9y2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 9xy + 2x2 + 9y2 = 0

The solution to this equation could not be determined.

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