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Simplifying (2 + x)(-8 + y)(6 + -1z) = 0 Multiply (2 + x) * (-8 + y) (2(-8 + y) + x(-8 + y))(6 + -1z) = 0 ((-8 * 2 + y * 2) + x(-8 + y))(6 + -1z) = 0 ((-16 + 2y) + x(-8 + y))(6 + -1z) = 0 (-16 + 2y + (-8 * x + y * x))(6 + -1z) = 0 (-16 + 2y + (-8x + xy))(6 + -1z) = 0 Reorder the terms: (-16 + -8x + xy + 2y)(6 + -1z) = 0 (-16 + -8x + xy + 2y)(6 + -1z) = 0 Multiply (-16 + -8x + xy + 2y) * (6 + -1z) (-16(6 + -1z) + -8x * (6 + -1z) + xy(6 + -1z) + 2y * (6 + -1z)) = 0 ((6 * -16 + -1z * -16) + -8x * (6 + -1z) + xy(6 + -1z) + 2y * (6 + -1z)) = 0 ((-96 + 16z) + -8x * (6 + -1z) + xy(6 + -1z) + 2y * (6 + -1z)) = 0 (-96 + 16z + (6 * -8x + -1z * -8x) + xy(6 + -1z) + 2y * (6 + -1z)) = 0 (-96 + 16z + (-48x + 8xz) + xy(6 + -1z) + 2y * (6 + -1z)) = 0 (-96 + 16z + -48x + 8xz + (6 * xy + -1z * xy) + 2y * (6 + -1z)) = 0 (-96 + 16z + -48x + 8xz + (6xy + -1xyz) + 2y * (6 + -1z)) = 0 (-96 + 16z + -48x + 8xz + 6xy + -1xyz + (6 * 2y + -1z * 2y)) = 0 (-96 + 16z + -48x + 8xz + 6xy + -1xyz + (12y + -2yz)) = 0 Reorder the terms: (-96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z) = 0 (-96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z) = 0 Solving -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 96 + 16z = 0 + 96 Reorder the terms: -96 + 96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 0 + 96 -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 0 + 96 Combine like terms: 0 + 96 = 96 -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 96 Add '-12y' to each side of the equation. -48x + 6xy + -1xyz + 8xz + 12y + -2yz + -12y + 16z = 96 + -12y Reorder the terms: -48x + 6xy + -1xyz + 8xz + 12y + -12y + -2yz + 16z = 96 + -12y Combine like terms: 12y + -12y = 0 -48x + 6xy + -1xyz + 8xz + 0 + -2yz + 16z = 96 + -12y -48x + 6xy + -1xyz + 8xz + -2yz + 16z = 96 + -12y Add '2yz' to each side of the equation. -48x + 6xy + -1xyz + 8xz + -2yz + 2yz + 16z = 96 + -12y + 2yz Combine like terms: -2yz + 2yz = 0 -48x + 6xy + -1xyz + 8xz + 0 + 16z = 96 + -12y + 2yz -48x + 6xy + -1xyz + 8xz + 16z = 96 + -12y + 2yz Add '-16z' to each side of the equation. -48x + 6xy + -1xyz + 8xz + 16z + -16z = 96 + -12y + 2yz + -16z Combine like terms: 16z + -16z = 0 -48x + 6xy + -1xyz + 8xz + 0 = 96 + -12y + 2yz + -16z -48x + 6xy + -1xyz + 8xz = 96 + -12y + 2yz + -16z Reorder the terms: -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 96 + -12y + 2yz + -16z + -96 + 12y + -2yz + 16z Reorder the terms: -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 96 + -96 + -12y + 12y + 2yz + -2yz + -16z + 16z Combine like terms: 96 + -96 = 0 -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 0 + -12y + 12y + 2yz + -2yz + -16z + 16z -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = -12y + 12y + 2yz + -2yz + -16z + 16z Combine like terms: -12y + 12y = 0 -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 0 + 2yz + -2yz + -16z + 16z -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 2yz + -2yz + -16z + 16z Combine like terms: 2yz + -2yz = 0 -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 0 + -16z + 16z -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = -16z + 16z Combine like terms: -16z + 16z = 0 -96 + -48x + 6xy + -1xyz + 8xz + 12y + -2yz + 16z = 0 The solution to this equation could not be determined.
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