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Simplifying x2 + y2 + -2X + -3y + 15 = 0 Reorder the terms: 15 + -2X + x2 + -3y + y2 = 0 Solving 15 + -2X + x2 + -3y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -2X + x2 + -3y + -15 + y2 = 0 + -15 Reorder the terms: 15 + -15 + -2X + x2 + -3y + y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2X + x2 + -3y + y2 = 0 + -15 -2X + x2 + -3y + y2 = 0 + -15 Combine like terms: 0 + -15 = -15 -2X + x2 + -3y + y2 = -15 Add '-1x2' to each side of the equation. -2X + x2 + -3y + -1x2 + y2 = -15 + -1x2 Reorder the terms: -2X + x2 + -1x2 + -3y + y2 = -15 + -1x2 Combine like terms: x2 + -1x2 = 0 -2X + 0 + -3y + y2 = -15 + -1x2 -2X + -3y + y2 = -15 + -1x2 Add '3y' to each side of the equation. -2X + -3y + 3y + y2 = -15 + -1x2 + 3y Combine like terms: -3y + 3y = 0 -2X + 0 + y2 = -15 + -1x2 + 3y -2X + y2 = -15 + -1x2 + 3y Add '-1y2' to each side of the equation. -2X + y2 + -1y2 = -15 + -1x2 + 3y + -1y2 Combine like terms: y2 + -1y2 = 0 -2X + 0 = -15 + -1x2 + 3y + -1y2 -2X = -15 + -1x2 + 3y + -1y2 Divide each side by '-2'. X = 7.5 + 0.5x2 + -1.5y + 0.5y2 Simplifying X = 7.5 + 0.5x2 + -1.5y + 0.5y2
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