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Simplifying (x2 + xy + y2)(x + -1y) = 0 Reorder the terms: (xy + x2 + y2)(x + -1y) = 0 Multiply (xy + x2 + y2) * (x + -1y) (xy(x + -1y) + x2(x + -1y) + y2(x + -1y)) = 0 ((x * xy + -1y * xy) + x2(x + -1y) + y2(x + -1y)) = 0 Reorder the terms: ((-1xy2 + x2y) + x2(x + -1y) + y2(x + -1y)) = 0 ((-1xy2 + x2y) + x2(x + -1y) + y2(x + -1y)) = 0 (-1xy2 + x2y + (x * x2 + -1y * x2) + y2(x + -1y)) = 0 Reorder the terms: (-1xy2 + x2y + (-1x2y + x3) + y2(x + -1y)) = 0 (-1xy2 + x2y + (-1x2y + x3) + y2(x + -1y)) = 0 (-1xy2 + x2y + -1x2y + x3 + (x * y2 + -1y * y2)) = 0 (-1xy2 + x2y + -1x2y + x3 + (xy2 + -1y3)) = 0 Reorder the terms: (-1xy2 + xy2 + x2y + -1x2y + x3 + -1y3) = 0 Combine like terms: -1xy2 + xy2 = 0 (0 + x2y + -1x2y + x3 + -1y3) = 0 (x2y + -1x2y + x3 + -1y3) = 0 Combine like terms: x2y + -1x2y = 0 (0 + x3 + -1y3) = 0 (x3 + -1y3) = 0 Solving x3 + -1y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y3' to each side of the equation. x3 + -1y3 + y3 = 0 + y3 Combine like terms: -1y3 + y3 = 0 x3 + 0 = 0 + y3 x3 = 0 + y3 Remove the zero: x3 = y3 Simplifying x3 = y3 Combine like terms: y3 + -1y3 = 0 x3 + -1y3 = 0 The solution to this equation could not be determined.
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