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