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Simplifying X2 + y2 + -4x + 10y + 21 = 0 Reorder the terms: 21 + X2 + -4x + 10y + y2 = 0 Solving 21 + X2 + -4x + 10y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + X2 + -4x + 10y + -21 + y2 = 0 + -21 Reorder the terms: 21 + -21 + X2 + -4x + 10y + y2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + X2 + -4x + 10y + y2 = 0 + -21 X2 + -4x + 10y + y2 = 0 + -21 Combine like terms: 0 + -21 = -21 X2 + -4x + 10y + y2 = -21 Add '4x' to each side of the equation. X2 + -4x + 10y + 4x + y2 = -21 + 4x Reorder the terms: X2 + -4x + 4x + 10y + y2 = -21 + 4x Combine like terms: -4x + 4x = 0 X2 + 0 + 10y + y2 = -21 + 4x X2 + 10y + y2 = -21 + 4x Add '-10y' to each side of the equation. X2 + 10y + -10y + y2 = -21 + 4x + -10y Combine like terms: 10y + -10y = 0 X2 + 0 + y2 = -21 + 4x + -10y X2 + y2 = -21 + 4x + -10y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = -21 + 4x + -10y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = -21 + 4x + -10y + -1y2 X2 = -21 + 4x + -10y + -1y2 Simplifying X2 = -21 + 4x + -10y + -1y2 Reorder the terms: 21 + X2 + -4x + 10y + y2 = -21 + 4x + -10y + -1y2 + 21 + -4x + 10y + y2 Reorder the terms: 21 + X2 + -4x + 10y + y2 = -21 + 21 + 4x + -4x + -10y + 10y + -1y2 + y2 Combine like terms: -21 + 21 = 0 21 + X2 + -4x + 10y + y2 = 0 + 4x + -4x + -10y + 10y + -1y2 + y2 21 + X2 + -4x + 10y + y2 = 4x + -4x + -10y + 10y + -1y2 + y2 Combine like terms: 4x + -4x = 0 21 + X2 + -4x + 10y + y2 = 0 + -10y + 10y + -1y2 + y2 21 + X2 + -4x + 10y + y2 = -10y + 10y + -1y2 + y2 Combine like terms: -10y + 10y = 0 21 + X2 + -4x + 10y + y2 = 0 + -1y2 + y2 21 + X2 + -4x + 10y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 21 + X2 + -4x + 10y + y2 = 0 The solution to this equation could not be determined.
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