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Simplifying x2 + y2 + -4y + 2z + 2 = 0 Reorder the terms: 2 + x2 + -4y + y2 + 2z = 0 Solving 2 + x2 + -4y + y2 + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + x2 + -4y + y2 + -2 + 2z = 0 + -2 Reorder the terms: 2 + -2 + x2 + -4y + y2 + 2z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 + -4y + y2 + 2z = 0 + -2 x2 + -4y + y2 + 2z = 0 + -2 Combine like terms: 0 + -2 = -2 x2 + -4y + y2 + 2z = -2 Add '4y' to each side of the equation. x2 + -4y + y2 + 4y + 2z = -2 + 4y Reorder the terms: x2 + -4y + 4y + y2 + 2z = -2 + 4y Combine like terms: -4y + 4y = 0 x2 + 0 + y2 + 2z = -2 + 4y x2 + y2 + 2z = -2 + 4y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 + 2z = -2 + 4y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 + 2z = -2 + 4y + -1y2 x2 + 2z = -2 + 4y + -1y2 Add '-2z' to each side of the equation. x2 + 2z + -2z = -2 + 4y + -1y2 + -2z Combine like terms: 2z + -2z = 0 x2 + 0 = -2 + 4y + -1y2 + -2z x2 = -2 + 4y + -1y2 + -2z Simplifying x2 = -2 + 4y + -1y2 + -2z Reorder the terms: 2 + x2 + -4y + y2 + 2z = -2 + 4y + -1y2 + -2z + 2 + -4y + y2 + 2z Reorder the terms: 2 + x2 + -4y + y2 + 2z = -2 + 2 + 4y + -4y + -1y2 + y2 + -2z + 2z Combine like terms: -2 + 2 = 0 2 + x2 + -4y + y2 + 2z = 0 + 4y + -4y + -1y2 + y2 + -2z + 2z 2 + x2 + -4y + y2 + 2z = 4y + -4y + -1y2 + y2 + -2z + 2z Combine like terms: 4y + -4y = 0 2 + x2 + -4y + y2 + 2z = 0 + -1y2 + y2 + -2z + 2z 2 + x2 + -4y + y2 + 2z = -1y2 + y2 + -2z + 2z Combine like terms: -1y2 + y2 = 0 2 + x2 + -4y + y2 + 2z = 0 + -2z + 2z 2 + x2 + -4y + y2 + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 2 + x2 + -4y + y2 + 2z = 0 The solution to this equation could not be determined.
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