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Simplifying (z + -2y + 2)(y + -2x + 3) = 0 Reorder the terms: (2 + -2y + z)(y + -2x + 3) = 0 Reorder the terms: (2 + -2y + z)(3 + -2x + y) = 0 Multiply (2 + -2y + z) * (3 + -2x + y) (2(3 + -2x + y) + -2y * (3 + -2x + y) + z(3 + -2x + y)) = 0 ((3 * 2 + -2x * 2 + y * 2) + -2y * (3 + -2x + y) + z(3 + -2x + y)) = 0 ((6 + -4x + 2y) + -2y * (3 + -2x + y) + z(3 + -2x + y)) = 0 (6 + -4x + 2y + (3 * -2y + -2x * -2y + y * -2y) + z(3 + -2x + y)) = 0 Reorder the terms: (6 + -4x + 2y + (4xy + -6y + -2y2) + z(3 + -2x + y)) = 0 (6 + -4x + 2y + (4xy + -6y + -2y2) + z(3 + -2x + y)) = 0 (6 + -4x + 2y + 4xy + -6y + -2y2 + (3 * z + -2x * z + y * z)) = 0 Reorder the terms: (6 + -4x + 2y + 4xy + -6y + -2y2 + (-2xz + yz + 3z)) = 0 (6 + -4x + 2y + 4xy + -6y + -2y2 + (-2xz + yz + 3z)) = 0 Reorder the terms: (6 + -4x + 4xy + -2xz + 2y + -6y + yz + -2y2 + 3z) = 0 Combine like terms: 2y + -6y = -4y (6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z) = 0 Solving 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + -6 + 3z = 0 + -6 Reorder the terms: 6 + -6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -6 -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -6 Combine like terms: 0 + -6 = -6 -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -6 Add '4y' to each side of the equation. -4x + 4xy + -2xz + -4y + yz + -2y2 + 4y + 3z = -6 + 4y Reorder the terms: -4x + 4xy + -2xz + -4y + 4y + yz + -2y2 + 3z = -6 + 4y Combine like terms: -4y + 4y = 0 -4x + 4xy + -2xz + 0 + yz + -2y2 + 3z = -6 + 4y -4x + 4xy + -2xz + yz + -2y2 + 3z = -6 + 4y Add '-1yz' to each side of the equation. -4x + 4xy + -2xz + yz + -2y2 + -1yz + 3z = -6 + 4y + -1yz Reorder the terms: -4x + 4xy + -2xz + yz + -1yz + -2y2 + 3z = -6 + 4y + -1yz Combine like terms: yz + -1yz = 0 -4x + 4xy + -2xz + 0 + -2y2 + 3z = -6 + 4y + -1yz -4x + 4xy + -2xz + -2y2 + 3z = -6 + 4y + -1yz Add '2y2' to each side of the equation. -4x + 4xy + -2xz + -2y2 + 2y2 + 3z = -6 + 4y + -1yz + 2y2 Combine like terms: -2y2 + 2y2 = 0 -4x + 4xy + -2xz + 0 + 3z = -6 + 4y + -1yz + 2y2 -4x + 4xy + -2xz + 3z = -6 + 4y + -1yz + 2y2 Add '-3z' to each side of the equation. -4x + 4xy + -2xz + 3z + -3z = -6 + 4y + -1yz + 2y2 + -3z Combine like terms: 3z + -3z = 0 -4x + 4xy + -2xz + 0 = -6 + 4y + -1yz + 2y2 + -3z -4x + 4xy + -2xz = -6 + 4y + -1yz + 2y2 + -3z Reorder the terms: 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -6 + 4y + -1yz + 2y2 + -3z + 6 + -4y + yz + -2y2 + 3z Reorder the terms: 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -6 + 6 + 4y + -4y + -1yz + yz + 2y2 + -2y2 + -3z + 3z Combine like terms: -6 + 6 = 0 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + 4y + -4y + -1yz + yz + 2y2 + -2y2 + -3z + 3z 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 4y + -4y + -1yz + yz + 2y2 + -2y2 + -3z + 3z Combine like terms: 4y + -4y = 0 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -1yz + yz + 2y2 + -2y2 + -3z + 3z 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -1yz + yz + 2y2 + -2y2 + -3z + 3z Combine like terms: -1yz + yz = 0 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + 2y2 + -2y2 + -3z + 3z 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 2y2 + -2y2 + -3z + 3z Combine like terms: 2y2 + -2y2 = 0 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 + -3z + 3z 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 6 + -4x + 4xy + -2xz + -4y + yz + -2y2 + 3z = 0 The solution to this equation could not be determined.
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