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Simplifying x2 + y2 + 6y + 3 = 0 Reorder the terms: 3 + x2 + 6y + y2 = 0 Solving 3 + x2 + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + x2 + 6y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + x2 + 6y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 + 6y + y2 = 0 + -3 x2 + 6y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 + 6y + y2 = -3 Add '-6y' to each side of the equation. x2 + 6y + -6y + y2 = -3 + -6y Combine like terms: 6y + -6y = 0 x2 + 0 + y2 = -3 + -6y x2 + y2 = -3 + -6y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = -3 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = -3 + -6y + -1y2 x2 = -3 + -6y + -1y2 Simplifying x2 = -3 + -6y + -1y2 Reorder the terms: 3 + x2 + 6y + y2 = -3 + -6y + -1y2 + 3 + 6y + y2 Reorder the terms: 3 + x2 + 6y + y2 = -3 + 3 + -6y + 6y + -1y2 + y2 Combine like terms: -3 + 3 = 0 3 + x2 + 6y + y2 = 0 + -6y + 6y + -1y2 + y2 3 + x2 + 6y + y2 = -6y + 6y + -1y2 + y2 Combine like terms: -6y + 6y = 0 3 + x2 + 6y + y2 = 0 + -1y2 + y2 3 + x2 + 6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 3 + x2 + 6y + y2 = 0 The solution to this equation could not be determined.
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