(x+4y)(y+4x)=16

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Solution for (x+4y)(y+4x)=16 equation: 


Simplifying
(x + 4y)(y + 4x) = 16

Reorder the terms:
(x + 4y)(4x + y) = 16

Multiply (x + 4y) * (4x + y)
(x(4x + y) + 4y * (4x + y)) = 16
((4x * x + y * x) + 4y * (4x + y)) = 16

Reorder the terms:
((xy + 4x2) + 4y * (4x + y)) = 16
((xy + 4x2) + 4y * (4x + y)) = 16
(xy + 4x2 + (4x * 4y + y * 4y)) = 16
(xy + 4x2 + (16xy + 4y2)) = 16

Reorder the terms:
(xy + 16xy + 4x2 + 4y2) = 16

Combine like terms: xy + 16xy = 17xy
(17xy + 4x2 + 4y2) = 16

Solving
17xy + 4x2 + 4y2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + 17xy + 4x2 + 4y2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 17xy + 4x2 + 4y2 = 0

The solution to this equation could not be determined.

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