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

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


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

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

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

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

Solving
X = x2 + 4y2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Simplifying
X = x2 + 4y2

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