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Simplifying X2 + y2 + 8x + -20y + -120 = 0 Reorder the terms: -120 + X2 + 8x + -20y + y2 = 0 Solving -120 + X2 + 8x + -20y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '120' to each side of the equation. -120 + X2 + 8x + -20y + 120 + y2 = 0 + 120 Reorder the terms: -120 + 120 + X2 + 8x + -20y + y2 = 0 + 120 Combine like terms: -120 + 120 = 0 0 + X2 + 8x + -20y + y2 = 0 + 120 X2 + 8x + -20y + y2 = 0 + 120 Combine like terms: 0 + 120 = 120 X2 + 8x + -20y + y2 = 120 Add '-8x' to each side of the equation. X2 + 8x + -20y + -8x + y2 = 120 + -8x Reorder the terms: X2 + 8x + -8x + -20y + y2 = 120 + -8x Combine like terms: 8x + -8x = 0 X2 + 0 + -20y + y2 = 120 + -8x X2 + -20y + y2 = 120 + -8x Add '20y' to each side of the equation. X2 + -20y + 20y + y2 = 120 + -8x + 20y Combine like terms: -20y + 20y = 0 X2 + 0 + y2 = 120 + -8x + 20y X2 + y2 = 120 + -8x + 20y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = 120 + -8x + 20y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = 120 + -8x + 20y + -1y2 X2 = 120 + -8x + 20y + -1y2 Simplifying X2 = 120 + -8x + 20y + -1y2 Reorder the terms: -120 + X2 + 8x + -20y + y2 = 120 + -8x + 20y + -1y2 + -120 + 8x + -20y + y2 Reorder the terms: -120 + X2 + 8x + -20y + y2 = 120 + -120 + -8x + 8x + 20y + -20y + -1y2 + y2 Combine like terms: 120 + -120 = 0 -120 + X2 + 8x + -20y + y2 = 0 + -8x + 8x + 20y + -20y + -1y2 + y2 -120 + X2 + 8x + -20y + y2 = -8x + 8x + 20y + -20y + -1y2 + y2 Combine like terms: -8x + 8x = 0 -120 + X2 + 8x + -20y + y2 = 0 + 20y + -20y + -1y2 + y2 -120 + X2 + 8x + -20y + y2 = 20y + -20y + -1y2 + y2 Combine like terms: 20y + -20y = 0 -120 + X2 + 8x + -20y + y2 = 0 + -1y2 + y2 -120 + X2 + 8x + -20y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -120 + X2 + 8x + -20y + y2 = 0 The solution to this equation could not be determined.
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