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Simplifying (x + 5y + -4z)(x + -6y + 2z) = 0 Multiply (x + 5y + -4z) * (x + -6y + 2z) (x(x + -6y + 2z) + 5y * (x + -6y + 2z) + -4z * (x + -6y + 2z)) = 0 ((x * x + -6y * x + 2z * x) + 5y * (x + -6y + 2z) + -4z * (x + -6y + 2z)) = 0 Reorder the terms: ((-6xy + 2xz + x2) + 5y * (x + -6y + 2z) + -4z * (x + -6y + 2z)) = 0 ((-6xy + 2xz + x2) + 5y * (x + -6y + 2z) + -4z * (x + -6y + 2z)) = 0 (-6xy + 2xz + x2 + (x * 5y + -6y * 5y + 2z * 5y) + -4z * (x + -6y + 2z)) = 0 Reorder the terms: (-6xy + 2xz + x2 + (5xy + 10yz + -30y2) + -4z * (x + -6y + 2z)) = 0 (-6xy + 2xz + x2 + (5xy + 10yz + -30y2) + -4z * (x + -6y + 2z)) = 0 (-6xy + 2xz + x2 + 5xy + 10yz + -30y2 + (x * -4z + -6y * -4z + 2z * -4z)) = 0 (-6xy + 2xz + x2 + 5xy + 10yz + -30y2 + (-4xz + 24yz + -8z2)) = 0 Reorder the terms: (-6xy + 5xy + 2xz + -4xz + x2 + 10yz + 24yz + -30y2 + -8z2) = 0 Combine like terms: -6xy + 5xy = -1xy (-1xy + 2xz + -4xz + x2 + 10yz + 24yz + -30y2 + -8z2) = 0 Combine like terms: 2xz + -4xz = -2xz (-1xy + -2xz + x2 + 10yz + 24yz + -30y2 + -8z2) = 0 Combine like terms: 10yz + 24yz = 34yz (-1xy + -2xz + x2 + 34yz + -30y2 + -8z2) = 0 Solving -1xy + -2xz + x2 + 34yz + -30y2 + -8z2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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