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Simplifying X^{3}+ 2xy + y^{3}= 0 Solving X^{3}+ 2xy + y^{3}= 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2xy' to each side of the equation. X^{3}+ 2xy + -2xy + y^{3}= 0 + -2xy Combine like terms: 2xy + -2xy = 0 X^{3}+ 0 + y^{3}= 0 + -2xy X^{3}+ y^{3}= 0 + -2xy Remove the zero: X^{3}+ y^{3}= -2xy Add '-1y^{3}' to each side of the equation. X^{3}+ y^{3}+ -1y^{3}= -2xy + -1y^{3}Combine like terms: y^{3}+ -1y^{3}= 0 X^{3}+ 0 = -2xy + -1y^{3}X^{3}= -2xy + -1y^{3}Simplifying X^{3}= -2xy + -1y^{3}Reorder the terms: X^{3}+ 2xy + y^{3}= -2xy + 2xy + -1y^{3}+ y^{3}Combine like terms: -2xy + 2xy = 0 X^{3}+ 2xy + y^{3}= 0 + -1y^{3}+ y^{3}X^{3}+ 2xy + y^{3}= -1y^{3}+ y^{3}Combine like terms: -1y^{3}+ y^{3}= 0 X^{3}+ 2xy + y^{3}= 0 The solution to this equation could not be determined.

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