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Simplifying x2 + -1y2 + -1z2 + -2yz = 0 Reorder the terms: x2 + -2yz + -1y2 + -1z2 = 0 Solving x2 + -2yz + -1y2 + -1z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2yz' to each side of the equation. x2 + -2yz + -1y2 + 2yz + -1z2 = 0 + 2yz Reorder the terms: x2 + -2yz + 2yz + -1y2 + -1z2 = 0 + 2yz Combine like terms: -2yz + 2yz = 0 x2 + 0 + -1y2 + -1z2 = 0 + 2yz x2 + -1y2 + -1z2 = 0 + 2yz Remove the zero: x2 + -1y2 + -1z2 = 2yz Add 'y2' to each side of the equation. x2 + -1y2 + y2 + -1z2 = 2yz + y2 Combine like terms: -1y2 + y2 = 0 x2 + 0 + -1z2 = 2yz + y2 x2 + -1z2 = 2yz + y2 Add 'z2' to each side of the equation. x2 + -1z2 + z2 = 2yz + y2 + z2 Combine like terms: -1z2 + z2 = 0 x2 + 0 = 2yz + y2 + z2 x2 = 2yz + y2 + z2 Simplifying x2 = 2yz + y2 + z2 Reorder the terms: x2 + -2yz + -1y2 + -1z2 = 2yz + -2yz + y2 + -1y2 + z2 + -1z2 Combine like terms: 2yz + -2yz = 0 x2 + -2yz + -1y2 + -1z2 = 0 + y2 + -1y2 + z2 + -1z2 x2 + -2yz + -1y2 + -1z2 = y2 + -1y2 + z2 + -1z2 Combine like terms: y2 + -1y2 = 0 x2 + -2yz + -1y2 + -1z2 = 0 + z2 + -1z2 x2 + -2yz + -1y2 + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 x2 + -2yz + -1y2 + -1z2 = 0 The solution to this equation could not be determined.
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