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

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


Simplifying
(2y + x)(2y + -1x) = (4x)

Reorder the terms:
(x + 2y)(2y + -1x) = (4x)

Reorder the terms:
(x + 2y)(-1x + 2y) = (4x)

Multiply (x + 2y) * (-1x + 2y)
(x(-1x + 2y) + 2y * (-1x + 2y)) = (4x)
((-1x * x + 2y * x) + 2y * (-1x + 2y)) = (4x)

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

Reorder the terms:
(2xy + -2xy + -1x2 + 4y2) = (4x)

Combine like terms: 2xy + -2xy = 0
(0 + -1x2 + 4y2) = (4x)
(-1x2 + 4y2) = (4x)

Solving
-1x2 + 4y2 = (4x)

Solving for variable 'x'.

Reorder the terms:
(-4x) + -1x2 + 4y2 = (4x) + (-4x)

Combine like terms: (4x) + (-4x) = 0
(-4x) + -1x2 + 4y2 = 0

The solution to this equation could not be determined.

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