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Simplifying (x + 2)(y + 2) + (x + -3)(y + 2) = 0 Reorder the terms: (2 + x)(y + 2) + (x + -3)(y + 2) = 0 Reorder the terms: (2 + x)(2 + y) + (x + -3)(y + 2) = 0 Multiply (2 + x) * (2 + y) (2(2 + y) + x(2 + y)) + (x + -3)(y + 2) = 0 ((2 * 2 + y * 2) + x(2 + y)) + (x + -3)(y + 2) = 0 ((4 + 2y) + x(2 + y)) + (x + -3)(y + 2) = 0 (4 + 2y + (2 * x + y * x)) + (x + -3)(y + 2) = 0 (4 + 2y + (2x + xy)) + (x + -3)(y + 2) = 0 Reorder the terms: (4 + 2x + xy + 2y) + (x + -3)(y + 2) = 0 (4 + 2x + xy + 2y) + (x + -3)(y + 2) = 0 Reorder the terms: 4 + 2x + xy + 2y + (-3 + x)(y + 2) = 0 Reorder the terms: 4 + 2x + xy + 2y + (-3 + x)(2 + y) = 0 Multiply (-3 + x) * (2 + y) 4 + 2x + xy + 2y + (-3(2 + y) + x(2 + y)) = 0 4 + 2x + xy + 2y + ((2 * -3 + y * -3) + x(2 + y)) = 0 4 + 2x + xy + 2y + ((-6 + -3y) + x(2 + y)) = 0 4 + 2x + xy + 2y + (-6 + -3y + (2 * x + y * x)) = 0 4 + 2x + xy + 2y + (-6 + -3y + (2x + xy)) = 0 Reorder the terms: 4 + 2x + xy + 2y + (-6 + 2x + xy + -3y) = 0 4 + 2x + xy + 2y + (-6 + 2x + xy + -3y) = 0 Reorder the terms: 4 + -6 + 2x + 2x + xy + xy + 2y + -3y = 0 Combine like terms: 4 + -6 = -2 -2 + 2x + 2x + xy + xy + 2y + -3y = 0 Combine like terms: 2x + 2x = 4x -2 + 4x + xy + xy + 2y + -3y = 0 Combine like terms: xy + xy = 2xy -2 + 4x + 2xy + 2y + -3y = 0 Combine like terms: 2y + -3y = -1y -2 + 4x + 2xy + -1y = 0 Solving -2 + 4x + 2xy + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4x + 2xy + 2 + -1y = 0 + 2 Reorder the terms: -2 + 2 + 4x + 2xy + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x + 2xy + -1y = 0 + 2 4x + 2xy + -1y = 0 + 2 Combine like terms: 0 + 2 = 2 4x + 2xy + -1y = 2 Add 'y' to each side of the equation. 4x + 2xy + -1y + y = 2 + y Combine like terms: -1y + y = 0 4x + 2xy + 0 = 2 + y 4x + 2xy = 2 + y Reorder the terms: -2 + 4x + 2xy + -1y = 2 + y + -2 + -1y Reorder the terms: -2 + 4x + 2xy + -1y = 2 + -2 + y + -1y Combine like terms: 2 + -2 = 0 -2 + 4x + 2xy + -1y = 0 + y + -1y -2 + 4x + 2xy + -1y = y + -1y Combine like terms: y + -1y = 0 -2 + 4x + 2xy + -1y = 0 The solution to this equation could not be determined.
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