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Simplifying 5x2 + 25y2 + -625X + 1000Y + 10xy + -1x2y + -1xy2 + 40625 = 0 Reorder the terms: 40625 + -625X + 1000Y + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = 0 Solving 40625 + -625X + 1000Y + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-40625' to each side of the equation. 40625 + -625X + 1000Y + 10xy + -1xy2 + 5x2 + -1x2y + -40625 + 25y2 = 0 + -40625 Reorder the terms: 40625 + -40625 + -625X + 1000Y + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = 0 + -40625 Combine like terms: 40625 + -40625 = 0 0 + -625X + 1000Y + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = 0 + -40625 -625X + 1000Y + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = 0 + -40625 Combine like terms: 0 + -40625 = -40625 -625X + 1000Y + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = -40625 Add '-1000Y' to each side of the equation. -625X + 1000Y + 10xy + -1xy2 + 5x2 + -1x2y + -1000Y + 25y2 = -40625 + -1000Y Reorder the terms: -625X + 1000Y + -1000Y + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = -40625 + -1000Y Combine like terms: 1000Y + -1000Y = 0 -625X + 0 + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = -40625 + -1000Y -625X + 10xy + -1xy2 + 5x2 + -1x2y + 25y2 = -40625 + -1000Y Add '-10xy' to each side of the equation. -625X + 10xy + -1xy2 + 5x2 + -1x2y + -10xy + 25y2 = -40625 + -1000Y + -10xy Reorder the terms: -625X + 10xy + -10xy + -1xy2 + 5x2 + -1x2y + 25y2 = -40625 + -1000Y + -10xy Combine like terms: 10xy + -10xy = 0 -625X + 0 + -1xy2 + 5x2 + -1x2y + 25y2 = -40625 + -1000Y + -10xy -625X + -1xy2 + 5x2 + -1x2y + 25y2 = -40625 + -1000Y + -10xy Add 'xy2' to each side of the equation. -625X + -1xy2 + 5x2 + -1x2y + xy2 + 25y2 = -40625 + -1000Y + -10xy + xy2 Reorder the terms: -625X + -1xy2 + xy2 + 5x2 + -1x2y + 25y2 = -40625 + -1000Y + -10xy + xy2 Combine like terms: -1xy2 + xy2 = 0 -625X + 0 + 5x2 + -1x2y + 25y2 = -40625 + -1000Y + -10xy + xy2 -625X + 5x2 + -1x2y + 25y2 = -40625 + -1000Y + -10xy + xy2 Add '-5x2' to each side of the equation. -625X + 5x2 + -1x2y + -5x2 + 25y2 = -40625 + -1000Y + -10xy + xy2 + -5x2 Reorder the terms: -625X + 5x2 + -5x2 + -1x2y + 25y2 = -40625 + -1000Y + -10xy + xy2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -625X + 0 + -1x2y + 25y2 = -40625 + -1000Y + -10xy + xy2 + -5x2 -625X + -1x2y + 25y2 = -40625 + -1000Y + -10xy + xy2 + -5x2 Add 'x2y' to each side of the equation. -625X + -1x2y + x2y + 25y2 = -40625 + -1000Y + -10xy + xy2 + -5x2 + x2y Combine like terms: -1x2y + x2y = 0 -625X + 0 + 25y2 = -40625 + -1000Y + -10xy + xy2 + -5x2 + x2y -625X + 25y2 = -40625 + -1000Y + -10xy + xy2 + -5x2 + x2y Add '-25y2' to each side of the equation. -625X + 25y2 + -25y2 = -40625 + -1000Y + -10xy + xy2 + -5x2 + x2y + -25y2 Combine like terms: 25y2 + -25y2 = 0 -625X + 0 = -40625 + -1000Y + -10xy + xy2 + -5x2 + x2y + -25y2 -625X = -40625 + -1000Y + -10xy + xy2 + -5x2 + x2y + -25y2 Divide each side by '-625'. X = 65 + 1.6Y + 0.016xy + -0.0016xy2 + 0.008x2 + -0.0016x2y + 0.04y2 Simplifying X = 65 + 1.6Y + 0.016xy + -0.0016xy2 + 0.008x2 + -0.0016x2y + 0.04y2
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