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Simplifying (2x + 1)(2y + -1) = 0 Reorder the terms: (1 + 2x)(2y + -1) = 0 Reorder the terms: (1 + 2x)(-1 + 2y) = 0 Multiply (1 + 2x) * (-1 + 2y) (1(-1 + 2y) + 2x * (-1 + 2y)) = 0 ((-1 * 1 + 2y * 1) + 2x * (-1 + 2y)) = 0 ((-1 + 2y) + 2x * (-1 + 2y)) = 0 (-1 + 2y + (-1 * 2x + 2y * 2x)) = 0 (-1 + 2y + (-2x + 4xy)) = 0 Reorder the terms: (-1 + -2x + 4xy + 2y) = 0 (-1 + -2x + 4xy + 2y) = 0 Solving -1 + -2x + 4xy + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2x + 4xy + 1 + 2y = 0 + 1 Reorder the terms: -1 + 1 + -2x + 4xy + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x + 4xy + 2y = 0 + 1 -2x + 4xy + 2y = 0 + 1 Combine like terms: 0 + 1 = 1 -2x + 4xy + 2y = 1 Add '-2y' to each side of the equation. -2x + 4xy + 2y + -2y = 1 + -2y Combine like terms: 2y + -2y = 0 -2x + 4xy + 0 = 1 + -2y -2x + 4xy = 1 + -2y Reorder the terms: -1 + -2x + 4xy + 2y = 1 + -2y + -1 + 2y Reorder the terms: -1 + -2x + 4xy + 2y = 1 + -1 + -2y + 2y Combine like terms: 1 + -1 = 0 -1 + -2x + 4xy + 2y = 0 + -2y + 2y -1 + -2x + 4xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -1 + -2x + 4xy + 2y = 0 The solution to this equation could not be determined.
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