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Simplifying Y2 + 2X + 4Y + -6 = 0 Reorder the terms: -6 + 2X + 4Y + Y2 = 0 Solving -6 + 2X + 4Y + 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 + 2X + 4Y + 6 + Y2 = 0 + 6 Reorder the terms: -6 + 6 + 2X + 4Y + Y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2X + 4Y + Y2 = 0 + 6 2X + 4Y + Y2 = 0 + 6 Combine like terms: 0 + 6 = 6 2X + 4Y + Y2 = 6 Add '-4Y' to each side of the equation. 2X + 4Y + -4Y + Y2 = 6 + -4Y Combine like terms: 4Y + -4Y = 0 2X + 0 + Y2 = 6 + -4Y 2X + Y2 = 6 + -4Y Add '-1Y2' to each side of the equation. 2X + Y2 + -1Y2 = 6 + -4Y + -1Y2 Combine like terms: Y2 + -1Y2 = 0 2X + 0 = 6 + -4Y + -1Y2 2X = 6 + -4Y + -1Y2 Divide each side by '2'. X = 3 + -2Y + -0.5Y2 Simplifying X = 3 + -2Y + -0.5Y2
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