(x^2+2x+4)(16y^2+4y+1)=8xy

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Solution for (x^2+2x+4)(16y^2+4y+1)=8xy equation: 


Simplifying
(x2 + 2x + 4)(16y2 + 4y + 1) = 8xy

Reorder the terms:
(4 + 2x + x2)(16y2 + 4y + 1) = 8xy

Reorder the terms:
(4 + 2x + x2)(1 + 4y + 16y2) = 8xy

Multiply (4 + 2x + x2) * (1 + 4y + 16y2)
(4(1 + 4y + 16y2) + 2x * (1 + 4y + 16y2) + x2(1 + 4y + 16y2)) = 8xy
((1 * 4 + 4y * 4 + 16y2 * 4) + 2x * (1 + 4y + 16y2) + x2(1 + 4y + 16y2)) = 8xy
((4 + 16y + 64y2) + 2x * (1 + 4y + 16y2) + x2(1 + 4y + 16y2)) = 8xy
(4 + 16y + 64y2 + (1 * 2x + 4y * 2x + 16y2 * 2x) + x2(1 + 4y + 16y2)) = 8xy
(4 + 16y + 64y2 + (2x + 8xy + 32xy2) + x2(1 + 4y + 16y2)) = 8xy
(4 + 16y + 64y2 + 2x + 8xy + 32xy2 + (1 * x2 + 4y * x2 + 16y2 * x2)) = 8xy
(4 + 16y + 64y2 + 2x + 8xy + 32xy2 + (1x2 + 4x2y + 16x2y2)) = 8xy

Reorder the terms:
(4 + 2x + 8xy + 32xy2 + 1x2 + 4x2y + 16x2y2 + 16y + 64y2) = 8xy
(4 + 2x + 8xy + 32xy2 + 1x2 + 4x2y + 16x2y2 + 16y + 64y2) = 8xy

Add '-8xy' to each side of the equation.
4 + 2x + 8xy + 32xy2 + 1x2 + 4x2y + 16x2y2 + 16y + -8xy + 64y2 = 8xy + -8xy

Reorder the terms:
4 + 2x + 8xy + -8xy + 32xy2 + 1x2 + 4x2y + 16x2y2 + 16y + 64y2 = 8xy + -8xy

Combine like terms: 8xy + -8xy = 0
4 + 2x + 0 + 32xy2 + 1x2 + 4x2y + 16x2y2 + 16y + 64y2 = 8xy + -8xy
4 + 2x + 32xy2 + 1x2 + 4x2y + 16x2y2 + 16y + 64y2 = 8xy + -8xy

Combine like terms: 8xy + -8xy = 0
4 + 2x + 32xy2 + 1x2 + 4x2y + 16x2y2 + 16y + 64y2 = 0

Solving
4 + 2x + 32xy2 + 1x2 + 4x2y + 16x2y2 + 16y + 64y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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