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