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Simplifying (X + 2y)(x + y) = 0 Multiply (X + 2y) * (x + y) (X(x + y) + 2y * (x + y)) = 0 ((x * X + y * X) + 2y * (x + y)) = 0 ((xX + yX) + 2y * (x + y)) = 0 (xX + yX + (x * 2y + y * 2y)) = 0 (xX + yX + (2xy + 2y2)) = 0 Reorder the terms: (xX + 2xy + yX + 2y2) = 0 (xX + 2xy + yX + 2y2) = 0 Solving xX + 2xy + yX + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1yX' to each side of the equation. xX + 2xy + yX + -1yX + 2y2 = 0 + -1yX Combine like terms: yX + -1yX = 0 xX + 2xy + 0 + 2y2 = 0 + -1yX xX + 2xy + 2y2 = 0 + -1yX Remove the zero: xX + 2xy + 2y2 = -1yX Add '-2y2' to each side of the equation. xX + 2xy + 2y2 + -2y2 = -1yX + -2y2 Combine like terms: 2y2 + -2y2 = 0 xX + 2xy + 0 = -1yX + -2y2 xX + 2xy = -1yX + -2y2 Reorder the terms: xX + 2xy + yX + 2y2 = -1yX + yX + -2y2 + 2y2 Combine like terms: -1yX + yX = 0 xX + 2xy + yX + 2y2 = 0 + -2y2 + 2y2 xX + 2xy + yX + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 xX + 2xy + yX + 2y2 = 0 The solution to this equation could not be determined.
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