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Simplifying x2 + y2 + 6y + -16 = 0 Reorder the terms: -16 + x2 + 6y + y2 = 0 Solving -16 + x2 + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + x2 + 6y + 16 + y2 = 0 + 16 Reorder the terms: -16 + 16 + x2 + 6y + y2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x2 + 6y + y2 = 0 + 16 x2 + 6y + y2 = 0 + 16 Combine like terms: 0 + 16 = 16 x2 + 6y + y2 = 16 Add '-6y' to each side of the equation. x2 + 6y + -6y + y2 = 16 + -6y Combine like terms: 6y + -6y = 0 x2 + 0 + y2 = 16 + -6y x2 + y2 = 16 + -6y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = 16 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = 16 + -6y + -1y2 x2 = 16 + -6y + -1y2 Simplifying x2 = 16 + -6y + -1y2 Reorder the terms: -16 + x2 + 6y + y2 = 16 + -6y + -1y2 + -16 + 6y + y2 Reorder the terms: -16 + x2 + 6y + y2 = 16 + -16 + -6y + 6y + -1y2 + y2 Combine like terms: 16 + -16 = 0 -16 + x2 + 6y + y2 = 0 + -6y + 6y + -1y2 + y2 -16 + x2 + 6y + y2 = -6y + 6y + -1y2 + y2 Combine like terms: -6y + 6y = 0 -16 + x2 + 6y + y2 = 0 + -1y2 + y2 -16 + x2 + 6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -16 + x2 + 6y + y2 = 0 The solution to this equation could not be determined.
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