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Simplifying 4x2 + 4y2 + -8x + 16Y + 4 = 0 Reorder the terms: 4 + 16Y + -8x + 4x2 + 4y2 = 0 Solving 4 + 16Y + -8x + 4x2 + 4y2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 16Y + -8x + 4x2 + -4 + 4y2 = 0 + -4 Reorder the terms: 4 + -4 + 16Y + -8x + 4x2 + 4y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 16Y + -8x + 4x2 + 4y2 = 0 + -4 16Y + -8x + 4x2 + 4y2 = 0 + -4 Combine like terms: 0 + -4 = -4 16Y + -8x + 4x2 + 4y2 = -4 Add '8x' to each side of the equation. 16Y + -8x + 4x2 + 8x + 4y2 = -4 + 8x Reorder the terms: 16Y + -8x + 8x + 4x2 + 4y2 = -4 + 8x Combine like terms: -8x + 8x = 0 16Y + 0 + 4x2 + 4y2 = -4 + 8x 16Y + 4x2 + 4y2 = -4 + 8x Add '-4x2' to each side of the equation. 16Y + 4x2 + -4x2 + 4y2 = -4 + 8x + -4x2 Combine like terms: 4x2 + -4x2 = 0 16Y + 0 + 4y2 = -4 + 8x + -4x2 16Y + 4y2 = -4 + 8x + -4x2 Add '-4y2' to each side of the equation. 16Y + 4y2 + -4y2 = -4 + 8x + -4x2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 16Y + 0 = -4 + 8x + -4x2 + -4y2 16Y = -4 + 8x + -4x2 + -4y2 Divide each side by '16'. Y = -0.25 + 0.5x + -0.25x2 + -0.25y2 Simplifying Y = -0.25 + 0.5x + -0.25x2 + -0.25y2
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