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Simplifying 4x2 + 4y2 + -4X + -11y + 6 = 0 Reorder the terms: 6 + -4X + 4x2 + -11y + 4y2 = 0 Solving 6 + -4X + 4x2 + -11y + 4y2 = 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 + -4X + 4x2 + -11y + -6 + 4y2 = 0 + -6 Reorder the terms: 6 + -6 + -4X + 4x2 + -11y + 4y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4X + 4x2 + -11y + 4y2 = 0 + -6 -4X + 4x2 + -11y + 4y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -4X + 4x2 + -11y + 4y2 = -6 Add '-4x2' to each side of the equation. -4X + 4x2 + -11y + -4x2 + 4y2 = -6 + -4x2 Reorder the terms: -4X + 4x2 + -4x2 + -11y + 4y2 = -6 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4X + 0 + -11y + 4y2 = -6 + -4x2 -4X + -11y + 4y2 = -6 + -4x2 Add '11y' to each side of the equation. -4X + -11y + 11y + 4y2 = -6 + -4x2 + 11y Combine like terms: -11y + 11y = 0 -4X + 0 + 4y2 = -6 + -4x2 + 11y -4X + 4y2 = -6 + -4x2 + 11y Add '-4y2' to each side of the equation. -4X + 4y2 + -4y2 = -6 + -4x2 + 11y + -4y2 Combine like terms: 4y2 + -4y2 = 0 -4X + 0 = -6 + -4x2 + 11y + -4y2 -4X = -6 + -4x2 + 11y + -4y2 Divide each side by '-4'. X = 1.5 + x2 + -2.75y + y2 Simplifying X = 1.5 + x2 + -2.75y + y2
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