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Simplifying X2 + y2 + 4x + -14y + 53 = 81 Reorder the terms: 53 + X2 + 4x + -14y + y2 = 81 Solving 53 + X2 + 4x + -14y + y2 = 81 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + X2 + 4x + -14y + -53 + y2 = 81 + -53 Reorder the terms: 53 + -53 + X2 + 4x + -14y + y2 = 81 + -53 Combine like terms: 53 + -53 = 0 0 + X2 + 4x + -14y + y2 = 81 + -53 X2 + 4x + -14y + y2 = 81 + -53 Combine like terms: 81 + -53 = 28 X2 + 4x + -14y + y2 = 28 Add '-4x' to each side of the equation. X2 + 4x + -14y + -4x + y2 = 28 + -4x Reorder the terms: X2 + 4x + -4x + -14y + y2 = 28 + -4x Combine like terms: 4x + -4x = 0 X2 + 0 + -14y + y2 = 28 + -4x X2 + -14y + y2 = 28 + -4x Add '14y' to each side of the equation. X2 + -14y + 14y + y2 = 28 + -4x + 14y Combine like terms: -14y + 14y = 0 X2 + 0 + y2 = 28 + -4x + 14y X2 + y2 = 28 + -4x + 14y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = 28 + -4x + 14y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = 28 + -4x + 14y + -1y2 X2 = 28 + -4x + 14y + -1y2 Simplifying X2 = 28 + -4x + 14y + -1y2 Reorder the terms: -28 + X2 + 4x + -14y + y2 = 28 + -4x + 14y + -1y2 + -28 + 4x + -14y + y2 Reorder the terms: -28 + X2 + 4x + -14y + y2 = 28 + -28 + -4x + 4x + 14y + -14y + -1y2 + y2 Combine like terms: 28 + -28 = 0 -28 + X2 + 4x + -14y + y2 = 0 + -4x + 4x + 14y + -14y + -1y2 + y2 -28 + X2 + 4x + -14y + y2 = -4x + 4x + 14y + -14y + -1y2 + y2 Combine like terms: -4x + 4x = 0 -28 + X2 + 4x + -14y + y2 = 0 + 14y + -14y + -1y2 + y2 -28 + X2 + 4x + -14y + y2 = 14y + -14y + -1y2 + y2 Combine like terms: 14y + -14y = 0 -28 + X2 + 4x + -14y + y2 = 0 + -1y2 + y2 -28 + X2 + 4x + -14y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -28 + X2 + 4x + -14y + y2 = 0 The solution to this equation could not be determined.
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