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Simplifying X2 + y2 + 2x + -4y + -11 = 10 Reorder the terms: -11 + X2 + 2x + -4y + y2 = 10 Solving -11 + X2 + 2x + -4y + y2 = 10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '11' to each side of the equation. -11 + X2 + 2x + -4y + 11 + y2 = 10 + 11 Reorder the terms: -11 + 11 + X2 + 2x + -4y + y2 = 10 + 11 Combine like terms: -11 + 11 = 0 0 + X2 + 2x + -4y + y2 = 10 + 11 X2 + 2x + -4y + y2 = 10 + 11 Combine like terms: 10 + 11 = 21 X2 + 2x + -4y + y2 = 21 Add '-2x' to each side of the equation. X2 + 2x + -4y + -2x + y2 = 21 + -2x Reorder the terms: X2 + 2x + -2x + -4y + y2 = 21 + -2x Combine like terms: 2x + -2x = 0 X2 + 0 + -4y + y2 = 21 + -2x X2 + -4y + y2 = 21 + -2x Add '4y' to each side of the equation. X2 + -4y + 4y + y2 = 21 + -2x + 4y Combine like terms: -4y + 4y = 0 X2 + 0 + y2 = 21 + -2x + 4y X2 + y2 = 21 + -2x + 4y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = 21 + -2x + 4y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = 21 + -2x + 4y + -1y2 X2 = 21 + -2x + 4y + -1y2 Simplifying X2 = 21 + -2x + 4y + -1y2 Reorder the terms: -21 + X2 + 2x + -4y + y2 = 21 + -2x + 4y + -1y2 + -21 + 2x + -4y + y2 Reorder the terms: -21 + X2 + 2x + -4y + y2 = 21 + -21 + -2x + 2x + 4y + -4y + -1y2 + y2 Combine like terms: 21 + -21 = 0 -21 + X2 + 2x + -4y + y2 = 0 + -2x + 2x + 4y + -4y + -1y2 + y2 -21 + X2 + 2x + -4y + y2 = -2x + 2x + 4y + -4y + -1y2 + y2 Combine like terms: -2x + 2x = 0 -21 + X2 + 2x + -4y + y2 = 0 + 4y + -4y + -1y2 + y2 -21 + X2 + 2x + -4y + y2 = 4y + -4y + -1y2 + y2 Combine like terms: 4y + -4y = 0 -21 + X2 + 2x + -4y + y2 = 0 + -1y2 + y2 -21 + X2 + 2x + -4y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -21 + X2 + 2x + -4y + y2 = 0 The solution to this equation could not be determined.
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