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Simplifying 2x(x + y) + -2y(x + -1y) = 0 (x * 2x + y * 2x) + -2y(x + -1y) = 0 Reorder the terms: (2xy + 2x2) + -2y(x + -1y) = 0 (2xy + 2x2) + -2y(x + -1y) = 0 2xy + 2x2 + (x * -2y + -1y * -2y) = 0 2xy + 2x2 + (-2xy + 2y2) = 0 Reorder the terms: 2xy + -2xy + 2x2 + 2y2 = 0 Combine like terms: 2xy + -2xy = 0 0 + 2x2 + 2y2 = 0 2x2 + 2y2 = 0 Solving 2x2 + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 = 0 + -2y2 2x2 = 0 + -2y2 Remove the zero: 2x2 = -2y2 Divide each side by '2'. 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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