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Simplifying x2 + y2 + 16y + 61 = 0 Reorder the terms: 61 + x2 + 16y + y2 = 0 Solving 61 + x2 + 16y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + x2 + 16y + -61 + y2 = 0 + -61 Reorder the terms: 61 + -61 + x2 + 16y + y2 = 0 + -61 Combine like terms: 61 + -61 = 0 0 + x2 + 16y + y2 = 0 + -61 x2 + 16y + y2 = 0 + -61 Combine like terms: 0 + -61 = -61 x2 + 16y + y2 = -61 Add '-16y' to each side of the equation. x2 + 16y + -16y + y2 = -61 + -16y Combine like terms: 16y + -16y = 0 x2 + 0 + y2 = -61 + -16y x2 + y2 = -61 + -16y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = -61 + -16y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = -61 + -16y + -1y2 x2 = -61 + -16y + -1y2 Simplifying x2 = -61 + -16y + -1y2 Reorder the terms: 61 + x2 + 16y + y2 = -61 + -16y + -1y2 + 61 + 16y + y2 Reorder the terms: 61 + x2 + 16y + y2 = -61 + 61 + -16y + 16y + -1y2 + y2 Combine like terms: -61 + 61 = 0 61 + x2 + 16y + y2 = 0 + -16y + 16y + -1y2 + y2 61 + x2 + 16y + y2 = -16y + 16y + -1y2 + y2 Combine like terms: -16y + 16y = 0 61 + x2 + 16y + y2 = 0 + -1y2 + y2 61 + x2 + 16y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 61 + x2 + 16y + y2 = 0 The solution to this equation could not be determined.
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