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Simplifying 4x2 + y2 + 8c + -4y + -8 = 0 Reorder the terms: -8 + 8c + 4x2 + -4y + y2 = 0 Solving -8 + 8c + 4x2 + -4y + y2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8c + 4x2 + -4y + 8 + y2 = 0 + 8 Reorder the terms: -8 + 8 + 8c + 4x2 + -4y + y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8c + 4x2 + -4y + y2 = 0 + 8 8c + 4x2 + -4y + y2 = 0 + 8 Combine like terms: 0 + 8 = 8 8c + 4x2 + -4y + y2 = 8 Add '-4x2' to each side of the equation. 8c + 4x2 + -4y + -4x2 + y2 = 8 + -4x2 Reorder the terms: 8c + 4x2 + -4x2 + -4y + y2 = 8 + -4x2 Combine like terms: 4x2 + -4x2 = 0 8c + 0 + -4y + y2 = 8 + -4x2 8c + -4y + y2 = 8 + -4x2 Add '4y' to each side of the equation. 8c + -4y + 4y + y2 = 8 + -4x2 + 4y Combine like terms: -4y + 4y = 0 8c + 0 + y2 = 8 + -4x2 + 4y 8c + y2 = 8 + -4x2 + 4y Add '-1y2' to each side of the equation. 8c + y2 + -1y2 = 8 + -4x2 + 4y + -1y2 Combine like terms: y2 + -1y2 = 0 8c + 0 = 8 + -4x2 + 4y + -1y2 8c = 8 + -4x2 + 4y + -1y2 Divide each side by '8'. c = 1 + -0.5x2 + 0.5y + -0.125y2 Simplifying c = 1 + -0.5x2 + 0.5y + -0.125y2
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