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

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


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

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

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

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

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

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

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

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

Solving
-2xy2 + x2y + 2x3 + -1y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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