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Simplifying (2x + 5y + -9z)(7x + -9z + 7y) = 0 Reorder the terms: (2x + 5y + -9z)(7x + 7y + -9z) = 0 Multiply (2x + 5y + -9z) * (7x + 7y + -9z) (2x * (7x + 7y + -9z) + 5y * (7x + 7y + -9z) + -9z * (7x + 7y + -9z)) = 0 ((7x * 2x + 7y * 2x + -9z * 2x) + 5y * (7x + 7y + -9z) + -9z * (7x + 7y + -9z)) = 0 Reorder the terms: ((14xy + -18xz + 14x2) + 5y * (7x + 7y + -9z) + -9z * (7x + 7y + -9z)) = 0 ((14xy + -18xz + 14x2) + 5y * (7x + 7y + -9z) + -9z * (7x + 7y + -9z)) = 0 (14xy + -18xz + 14x2 + (7x * 5y + 7y * 5y + -9z * 5y) + -9z * (7x + 7y + -9z)) = 0 Reorder the terms: (14xy + -18xz + 14x2 + (35xy + -45yz + 35y2) + -9z * (7x + 7y + -9z)) = 0 (14xy + -18xz + 14x2 + (35xy + -45yz + 35y2) + -9z * (7x + 7y + -9z)) = 0 (14xy + -18xz + 14x2 + 35xy + -45yz + 35y2 + (7x * -9z + 7y * -9z + -9z * -9z)) = 0 (14xy + -18xz + 14x2 + 35xy + -45yz + 35y2 + (-63xz + -63yz + 81z2)) = 0 Reorder the terms: (14xy + 35xy + -18xz + -63xz + 14x2 + -45yz + -63yz + 35y2 + 81z2) = 0 Combine like terms: 14xy + 35xy = 49xy (49xy + -18xz + -63xz + 14x2 + -45yz + -63yz + 35y2 + 81z2) = 0 Combine like terms: -18xz + -63xz = -81xz (49xy + -81xz + 14x2 + -45yz + -63yz + 35y2 + 81z2) = 0 Combine like terms: -45yz + -63yz = -108yz (49xy + -81xz + 14x2 + -108yz + 35y2 + 81z2) = 0 Solving 49xy + -81xz + 14x2 + -108yz + 35y2 + 81z2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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