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