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

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


Simplifying
(X2 + -1xy + y2)(x + y) = 0

Multiply (X2 + -1xy + y2) * (x + y)
(X2(x + y) + -1xy * (x + y) + y2(x + y)) = 0
((x * X2 + y * X2) + -1xy * (x + y) + y2(x + y)) = 0
((xX2 + yX2) + -1xy * (x + y) + y2(x + y)) = 0
(xX2 + yX2 + (x * -1xy + y * -1xy) + y2(x + y)) = 0

Reorder the terms:
(xX2 + yX2 + (-1xy2 + -1x2y) + y2(x + y)) = 0
(xX2 + yX2 + (-1xy2 + -1x2y) + y2(x + y)) = 0
(xX2 + yX2 + -1xy2 + -1x2y + (x * y2 + y * y2)) = 0
(xX2 + yX2 + -1xy2 + -1x2y + (xy2 + y3)) = 0

Reorder the terms:
(xX2 + -1xy2 + xy2 + -1x2y + yX2 + y3) = 0

Combine like terms: -1xy2 + xy2 = 0
(xX2 + 0 + -1x2y + yX2 + y3) = 0
(xX2 + -1x2y + yX2 + y3) = 0

Solving
xX2 + -1x2y + yX2 + y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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