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Simplifying (2x + -1y + 5z)(2x + -1y + -5z) = 0 Multiply (2x + -1y + 5z) * (2x + -1y + -5z) (2x * (2x + -1y + -5z) + -1y * (2x + -1y + -5z) + 5z * (2x + -1y + -5z)) = 0 ((2x * 2x + -1y * 2x + -5z * 2x) + -1y * (2x + -1y + -5z) + 5z * (2x + -1y + -5z)) = 0 Reorder the terms: ((-2xy + -10xz + 4x2) + -1y * (2x + -1y + -5z) + 5z * (2x + -1y + -5z)) = 0 ((-2xy + -10xz + 4x2) + -1y * (2x + -1y + -5z) + 5z * (2x + -1y + -5z)) = 0 (-2xy + -10xz + 4x2 + (2x * -1y + -1y * -1y + -5z * -1y) + 5z * (2x + -1y + -5z)) = 0 Reorder the terms: (-2xy + -10xz + 4x2 + (-2xy + 5yz + 1y2) + 5z * (2x + -1y + -5z)) = 0 (-2xy + -10xz + 4x2 + (-2xy + 5yz + 1y2) + 5z * (2x + -1y + -5z)) = 0 (-2xy + -10xz + 4x2 + -2xy + 5yz + 1y2 + (2x * 5z + -1y * 5z + -5z * 5z)) = 0 (-2xy + -10xz + 4x2 + -2xy + 5yz + 1y2 + (10xz + -5yz + -25z2)) = 0 Reorder the terms: (-2xy + -2xy + -10xz + 10xz + 4x2 + 5yz + -5yz + 1y2 + -25z2) = 0 Combine like terms: -2xy + -2xy = -4xy (-4xy + -10xz + 10xz + 4x2 + 5yz + -5yz + 1y2 + -25z2) = 0 Combine like terms: -10xz + 10xz = 0 (-4xy + 0 + 4x2 + 5yz + -5yz + 1y2 + -25z2) = 0 (-4xy + 4x2 + 5yz + -5yz + 1y2 + -25z2) = 0 Combine like terms: 5yz + -5yz = 0 (-4xy + 4x2 + 0 + 1y2 + -25z2) = 0 (-4xy + 4x2 + 1y2 + -25z2) = 0 Solving -4xy + 4x2 + 1y2 + -25z2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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