(x+2*y)*(x-y)*(x-y)=0

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Solution for (x+2*y)*(x-y)*(x-y)=0 equation: 


Simplifying
(x + 2y)(x + -1y)(x + -1y) = 0

Multiply (x + 2y) * (x + -1y)
(x(x + -1y) + 2y * (x + -1y))(x + -1y) = 0
((x * x + -1y * x) + 2y * (x + -1y))(x + -1y) = 0

Reorder the terms:
((-1xy + x2) + 2y * (x + -1y))(x + -1y) = 0
((-1xy + x2) + 2y * (x + -1y))(x + -1y) = 0
(-1xy + x2 + (x * 2y + -1y * 2y))(x + -1y) = 0
(-1xy + x2 + (2xy + -2y2))(x + -1y) = 0

Reorder the terms:
(-1xy + 2xy + x2 + -2y2)(x + -1y) = 0

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

Multiply (1xy + x2 + -2y2) * (x + -1y)
(1xy * (x + -1y) + x2(x + -1y) + -2y2 * (x + -1y)) = 0
((x * 1xy + -1y * 1xy) + x2(x + -1y) + -2y2 * (x + -1y)) = 0

Reorder the terms:
((-1xy2 + 1x2y) + x2(x + -1y) + -2y2 * (x + -1y)) = 0
((-1xy2 + 1x2y) + x2(x + -1y) + -2y2 * (x + -1y)) = 0
(-1xy2 + 1x2y + (x * x2 + -1y * x2) + -2y2 * (x + -1y)) = 0

Reorder the terms:
(-1xy2 + 1x2y + (-1x2y + x3) + -2y2 * (x + -1y)) = 0
(-1xy2 + 1x2y + (-1x2y + x3) + -2y2 * (x + -1y)) = 0
(-1xy2 + 1x2y + -1x2y + x3 + (x * -2y2 + -1y * -2y2)) = 0
(-1xy2 + 1x2y + -1x2y + x3 + (-2xy2 + 2y3)) = 0

Reorder the terms:
(-1xy2 + -2xy2 + 1x2y + -1x2y + x3 + 2y3) = 0

Combine like terms: -1xy2 + -2xy2 = -3xy2
(-3xy2 + 1x2y + -1x2y + x3 + 2y3) = 0

Combine like terms: 1x2y + -1x2y = 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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