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Simplifying (x + -1y + 3z)(x + -1y + -7z) = 0 Multiply (x + -1y + 3z) * (x + -1y + -7z) (x(x + -1y + -7z) + -1y * (x + -1y + -7z) + 3z * (x + -1y + -7z)) = 0 ((x * x + -1y * x + -7z * x) + -1y * (x + -1y + -7z) + 3z * (x + -1y + -7z)) = 0 Reorder the terms: ((-1xy + -7xz + x2) + -1y * (x + -1y + -7z) + 3z * (x + -1y + -7z)) = 0 ((-1xy + -7xz + x2) + -1y * (x + -1y + -7z) + 3z * (x + -1y + -7z)) = 0 (-1xy + -7xz + x2 + (x * -1y + -1y * -1y + -7z * -1y) + 3z * (x + -1y + -7z)) = 0 Reorder the terms: (-1xy + -7xz + x2 + (-1xy + 7yz + 1y2) + 3z * (x + -1y + -7z)) = 0 (-1xy + -7xz + x2 + (-1xy + 7yz + 1y2) + 3z * (x + -1y + -7z)) = 0 (-1xy + -7xz + x2 + -1xy + 7yz + 1y2 + (x * 3z + -1y * 3z + -7z * 3z)) = 0 (-1xy + -7xz + x2 + -1xy + 7yz + 1y2 + (3xz + -3yz + -21z2)) = 0 Reorder the terms: (-1xy + -1xy + -7xz + 3xz + x2 + 7yz + -3yz + 1y2 + -21z2) = 0 Combine like terms: -1xy + -1xy = -2xy (-2xy + -7xz + 3xz + x2 + 7yz + -3yz + 1y2 + -21z2) = 0 Combine like terms: -7xz + 3xz = -4xz (-2xy + -4xz + x2 + 7yz + -3yz + 1y2 + -21z2) = 0 Combine like terms: 7yz + -3yz = 4yz (-2xy + -4xz + x2 + 4yz + 1y2 + -21z2) = 0 Solving -2xy + -4xz + x2 + 4yz + 1y2 + -21z2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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