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Simplifying x2 + 8x + y2 + -22y + c = 0 Reorder the terms: c + 8x + x2 + -22y + y2 = 0 Solving c + 8x + x2 + -22y + y2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8x' to each side of the equation. c + 8x + x2 + -22y + -8x + y2 = 0 + -8x Reorder the terms: c + 8x + -8x + x2 + -22y + y2 = 0 + -8x Combine like terms: 8x + -8x = 0 c + 0 + x2 + -22y + y2 = 0 + -8x c + x2 + -22y + y2 = 0 + -8x Remove the zero: c + x2 + -22y + y2 = -8x Add '-1x2' to each side of the equation. c + x2 + -22y + -1x2 + y2 = -8x + -1x2 Reorder the terms: c + x2 + -1x2 + -22y + y2 = -8x + -1x2 Combine like terms: x2 + -1x2 = 0 c + 0 + -22y + y2 = -8x + -1x2 c + -22y + y2 = -8x + -1x2 Add '22y' to each side of the equation. c + -22y + 22y + y2 = -8x + -1x2 + 22y Combine like terms: -22y + 22y = 0 c + 0 + y2 = -8x + -1x2 + 22y c + y2 = -8x + -1x2 + 22y Add '-1y2' to each side of the equation. c + y2 + -1y2 = -8x + -1x2 + 22y + -1y2 Combine like terms: y2 + -1y2 = 0 c + 0 = -8x + -1x2 + 22y + -1y2 c = -8x + -1x2 + 22y + -1y2 Simplifying c = -8x + -1x2 + 22y + -1y2
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