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Simplifying x2 + -1y2 + 4yz + -4z2 = 0 Reorder the terms: x2 + 4yz + -1y2 + -4z2 = 0 Solving x2 + 4yz + -1y2 + -4z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4yz' to each side of the equation. x2 + 4yz + -1y2 + -4yz + -4z2 = 0 + -4yz Reorder the terms: x2 + 4yz + -4yz + -1y2 + -4z2 = 0 + -4yz Combine like terms: 4yz + -4yz = 0 x2 + 0 + -1y2 + -4z2 = 0 + -4yz x2 + -1y2 + -4z2 = 0 + -4yz Remove the zero: x2 + -1y2 + -4z2 = -4yz Add 'y2' to each side of the equation. x2 + -1y2 + y2 + -4z2 = -4yz + y2 Combine like terms: -1y2 + y2 = 0 x2 + 0 + -4z2 = -4yz + y2 x2 + -4z2 = -4yz + y2 Add '4z2' to each side of the equation. x2 + -4z2 + 4z2 = -4yz + y2 + 4z2 Combine like terms: -4z2 + 4z2 = 0 x2 + 0 = -4yz + y2 + 4z2 x2 = -4yz + y2 + 4z2 Simplifying x2 = -4yz + y2 + 4z2 Reorder the terms: x2 + 4yz + -1y2 + -4z2 = -4yz + 4yz + y2 + -1y2 + 4z2 + -4z2 Combine like terms: -4yz + 4yz = 0 x2 + 4yz + -1y2 + -4z2 = 0 + y2 + -1y2 + 4z2 + -4z2 x2 + 4yz + -1y2 + -4z2 = y2 + -1y2 + 4z2 + -4z2 Combine like terms: y2 + -1y2 = 0 x2 + 4yz + -1y2 + -4z2 = 0 + 4z2 + -4z2 x2 + 4yz + -1y2 + -4z2 = 4z2 + -4z2 Combine like terms: 4z2 + -4z2 = 0 x2 + 4yz + -1y2 + -4z2 = 0 The solution to this equation could not be determined.
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