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

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


Simplifying
y = x(x + -2y) + 2y(x + 2y)
y = (x * x + -2y * x) + 2y(x + 2y)

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

Reorder the terms:
y = -2xy + 2xy + x2 + 4y2

Combine like terms: -2xy + 2xy = 0
y = 0 + x2 + 4y2
y = x2 + 4y2

Solving
y = x2 + 4y2

Solving for variable 'y'.

Reorder the terms:
-1x2 + y + -4y2 = x2 + 4y2 + -1x2 + -4y2

Reorder the terms:
-1x2 + y + -4y2 = x2 + -1x2 + 4y2 + -4y2

Combine like terms: x2 + -1x2 = 0
-1x2 + y + -4y2 = 0 + 4y2 + -4y2
-1x2 + y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-1x2 + y + -4y2 = 0

The solution to this equation could not be determined.

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