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Simplifying X2 + xy + 2xz + yz + z2 = 0 Solving X2 + xy + 2xz + yz + z2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1xy' to each side of the equation. X2 + xy + 2xz + yz + -1xy + z2 = 0 + -1xy Reorder the terms: X2 + xy + -1xy + 2xz + yz + z2 = 0 + -1xy Combine like terms: xy + -1xy = 0 X2 + 0 + 2xz + yz + z2 = 0 + -1xy X2 + 2xz + yz + z2 = 0 + -1xy Remove the zero: X2 + 2xz + yz + z2 = -1xy Add '-2xz' to each side of the equation. X2 + 2xz + yz + -2xz + z2 = -1xy + -2xz Reorder the terms: X2 + 2xz + -2xz + yz + z2 = -1xy + -2xz Combine like terms: 2xz + -2xz = 0 X2 + 0 + yz + z2 = -1xy + -2xz X2 + yz + z2 = -1xy + -2xz Add '-1yz' to each side of the equation. X2 + yz + -1yz + z2 = -1xy + -2xz + -1yz Combine like terms: yz + -1yz = 0 X2 + 0 + z2 = -1xy + -2xz + -1yz X2 + z2 = -1xy + -2xz + -1yz Add '-1z2' to each side of the equation. X2 + z2 + -1z2 = -1xy + -2xz + -1yz + -1z2 Combine like terms: z2 + -1z2 = 0 X2 + 0 = -1xy + -2xz + -1yz + -1z2 X2 = -1xy + -2xz + -1yz + -1z2 Simplifying X2 = -1xy + -2xz + -1yz + -1z2 Reorder the terms: X2 + xy + 2xz + yz + z2 = -1xy + xy + -2xz + 2xz + -1yz + yz + -1z2 + z2 Combine like terms: -1xy + xy = 0 X2 + xy + 2xz + yz + z2 = 0 + -2xz + 2xz + -1yz + yz + -1z2 + z2 X2 + xy + 2xz + yz + z2 = -2xz + 2xz + -1yz + yz + -1z2 + z2 Combine like terms: -2xz + 2xz = 0 X2 + xy + 2xz + yz + z2 = 0 + -1yz + yz + -1z2 + z2 X2 + xy + 2xz + yz + z2 = -1yz + yz + -1z2 + z2 Combine like terms: -1yz + yz = 0 X2 + xy + 2xz + yz + z2 = 0 + -1z2 + z2 X2 + xy + 2xz + yz + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 X2 + xy + 2xz + yz + z2 = 0 The solution to this equation could not be determined.
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