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Simplifying (x + 2)(y + 2)(z + 2) = 0 Reorder the terms: (2 + x)(y + 2)(z + 2) = 0 Reorder the terms: (2 + x)(2 + y)(z + 2) = 0 Reorder the terms: (2 + x)(2 + y)(2 + z) = 0 Multiply (2 + x) * (2 + y) (2(2 + y) + x(2 + y))(2 + z) = 0 ((2 * 2 + y * 2) + x(2 + y))(2 + z) = 0 ((4 + 2y) + x(2 + y))(2 + z) = 0 (4 + 2y + (2 * x + y * x))(2 + z) = 0 (4 + 2y + (2x + xy))(2 + z) = 0 Reorder the terms: (4 + 2x + xy + 2y)(2 + z) = 0 (4 + 2x + xy + 2y)(2 + z) = 0 Multiply (4 + 2x + xy + 2y) * (2 + z) (4(2 + z) + 2x * (2 + z) + xy(2 + z) + 2y * (2 + z)) = 0 ((2 * 4 + z * 4) + 2x * (2 + z) + xy(2 + z) + 2y * (2 + z)) = 0 ((8 + 4z) + 2x * (2 + z) + xy(2 + z) + 2y * (2 + z)) = 0 (8 + 4z + (2 * 2x + z * 2x) + xy(2 + z) + 2y * (2 + z)) = 0 (8 + 4z + (4x + 2xz) + xy(2 + z) + 2y * (2 + z)) = 0 (8 + 4z + 4x + 2xz + (2 * xy + z * xy) + 2y * (2 + z)) = 0 (8 + 4z + 4x + 2xz + (2xy + xyz) + 2y * (2 + z)) = 0 (8 + 4z + 4x + 2xz + 2xy + xyz + (2 * 2y + z * 2y)) = 0 (8 + 4z + 4x + 2xz + 2xy + xyz + (4y + 2yz)) = 0 Reorder the terms: (8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z) = 0 (8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z) = 0 Solving 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + -8 + 4z = 0 + -8 Reorder the terms: 8 + -8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = 0 + -8 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = 0 + -8 Combine like terms: 0 + -8 = -8 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = -8 Add '-4y' to each side of the equation. 4x + 2xy + xyz + 2xz + 4y + 2yz + -4y + 4z = -8 + -4y Reorder the terms: 4x + 2xy + xyz + 2xz + 4y + -4y + 2yz + 4z = -8 + -4y Combine like terms: 4y + -4y = 0 4x + 2xy + xyz + 2xz + 0 + 2yz + 4z = -8 + -4y 4x + 2xy + xyz + 2xz + 2yz + 4z = -8 + -4y Add '-2yz' to each side of the equation. 4x + 2xy + xyz + 2xz + 2yz + -2yz + 4z = -8 + -4y + -2yz Combine like terms: 2yz + -2yz = 0 4x + 2xy + xyz + 2xz + 0 + 4z = -8 + -4y + -2yz 4x + 2xy + xyz + 2xz + 4z = -8 + -4y + -2yz Add '-4z' to each side of the equation. 4x + 2xy + xyz + 2xz + 4z + -4z = -8 + -4y + -2yz + -4z Combine like terms: 4z + -4z = 0 4x + 2xy + xyz + 2xz + 0 = -8 + -4y + -2yz + -4z 4x + 2xy + xyz + 2xz = -8 + -4y + -2yz + -4z Reorder the terms: 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = -8 + -4y + -2yz + -4z + 8 + 4y + 2yz + 4z Reorder the terms: 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = -8 + 8 + -4y + 4y + -2yz + 2yz + -4z + 4z Combine like terms: -8 + 8 = 0 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = 0 + -4y + 4y + -2yz + 2yz + -4z + 4z 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = -4y + 4y + -2yz + 2yz + -4z + 4z Combine like terms: -4y + 4y = 0 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = 0 + -2yz + 2yz + -4z + 4z 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = -2yz + 2yz + -4z + 4z Combine like terms: -2yz + 2yz = 0 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = 0 + -4z + 4z 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 8 + 4x + 2xy + xyz + 2xz + 4y + 2yz + 4z = 0 The solution to this equation could not be determined.
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