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

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


Simplifying
(x2 + 2xy + y2)(x + -2y) = 0

Reorder the terms:
(2xy + x2 + y2)(x + -2y) = 0

Multiply (2xy + x2 + y2) * (x + -2y)
(2xy * (x + -2y) + x2(x + -2y) + y2(x + -2y)) = 0
((x * 2xy + -2y * 2xy) + x2(x + -2y) + y2(x + -2y)) = 0

Reorder the terms:
((-4xy2 + 2x2y) + x2(x + -2y) + y2(x + -2y)) = 0
((-4xy2 + 2x2y) + x2(x + -2y) + y2(x + -2y)) = 0
(-4xy2 + 2x2y + (x * x2 + -2y * x2) + y2(x + -2y)) = 0

Reorder the terms:
(-4xy2 + 2x2y + (-2x2y + x3) + y2(x + -2y)) = 0
(-4xy2 + 2x2y + (-2x2y + x3) + y2(x + -2y)) = 0
(-4xy2 + 2x2y + -2x2y + x3 + (x * y2 + -2y * y2)) = 0
(-4xy2 + 2x2y + -2x2y + x3 + (xy2 + -2y3)) = 0

Reorder the terms:
(-4xy2 + xy2 + 2x2y + -2x2y + x3 + -2y3) = 0

Combine like terms: -4xy2 + xy2 = -3xy2
(-3xy2 + 2x2y + -2x2y + x3 + -2y3) = 0

Combine like terms: 2x2y + -2x2y = 0
(-3xy2 + 0 + x3 + -2y3) = 0
(-3xy2 + x3 + -2y3) = 0

Solving
-3xy2 + x3 + -2y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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