(4x+3y)(5x+2y)=1

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Solution for (4x+3y)(5x+2y)=1 equation: 


Simplifying
(4x + 3y)(5x + 2y) = 1

Multiply (4x + 3y) * (5x + 2y)
(4x * (5x + 2y) + 3y * (5x + 2y)) = 1
((5x * 4x + 2y * 4x) + 3y * (5x + 2y)) = 1

Reorder the terms:
((8xy + 20x2) + 3y * (5x + 2y)) = 1
((8xy + 20x2) + 3y * (5x + 2y)) = 1
(8xy + 20x2 + (5x * 3y + 2y * 3y)) = 1
(8xy + 20x2 + (15xy + 6y2)) = 1

Reorder the terms:
(8xy + 15xy + 20x2 + 6y2) = 1

Combine like terms: 8xy + 15xy = 23xy
(23xy + 20x2 + 6y2) = 1

Solving
23xy + 20x2 + 6y2 = 1

Solving for variable 'x'.

Reorder the terms:
-1 + 23xy + 20x2 + 6y2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 23xy + 20x2 + 6y2 = 0

The solution to this equation could not be determined.

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