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Simplifying y2 + -2x2 + XY + -4x + -5y + 6 = 0 Reorder the terms: 6 + XY + -4x + -2x2 + -5y + y2 = 0 Solving 6 + XY + -4x + -2x2 + -5y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + XY + -4x + -2x2 + -5y + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + XY + -4x + -2x2 + -5y + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + XY + -4x + -2x2 + -5y + y2 = 0 + -6 XY + -4x + -2x2 + -5y + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 XY + -4x + -2x2 + -5y + y2 = -6 Add '4x' to each side of the equation. XY + -4x + -2x2 + -5y + 4x + y2 = -6 + 4x Reorder the terms: XY + -4x + 4x + -2x2 + -5y + y2 = -6 + 4x Combine like terms: -4x + 4x = 0 XY + 0 + -2x2 + -5y + y2 = -6 + 4x XY + -2x2 + -5y + y2 = -6 + 4x Add '2x2' to each side of the equation. XY + -2x2 + -5y + 2x2 + y2 = -6 + 4x + 2x2 Reorder the terms: XY + -2x2 + 2x2 + -5y + y2 = -6 + 4x + 2x2 Combine like terms: -2x2 + 2x2 = 0 XY + 0 + -5y + y2 = -6 + 4x + 2x2 XY + -5y + y2 = -6 + 4x + 2x2 Add '5y' to each side of the equation. XY + -5y + 5y + y2 = -6 + 4x + 2x2 + 5y Combine like terms: -5y + 5y = 0 XY + 0 + y2 = -6 + 4x + 2x2 + 5y XY + y2 = -6 + 4x + 2x2 + 5y Add '-1y2' to each side of the equation. XY + y2 + -1y2 = -6 + 4x + 2x2 + 5y + -1y2 Combine like terms: y2 + -1y2 = 0 XY + 0 = -6 + 4x + 2x2 + 5y + -1y2 XY = -6 + 4x + 2x2 + 5y + -1y2 Divide each side by 'Y'. X = -6Y-1 + 4xY-1 + 2x2Y-1 + 5yY-1 + -1y2Y-1 Simplifying X = -6Y-1 + 4xY-1 + 2x2Y-1 + 5yY-1 + -1y2Y-1
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