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Simplifying y2 + 6y + -8x + 1 = 0 Reorder the terms: 1 + -8x + 6y + y2 = 0 Solving 1 + -8x + 6y + y2 = 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 + 6y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -8x + 6y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x + 6y + y2 = 0 + -1 -8x + 6y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -8x + 6y + y2 = -1 Add '-6y' to each side of the equation. -8x + 6y + -6y + y2 = -1 + -6y Combine like terms: 6y + -6y = 0 -8x + 0 + y2 = -1 + -6y -8x + y2 = -1 + -6y Add '-1y2' to each side of the equation. -8x + y2 + -1y2 = -1 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 -8x + 0 = -1 + -6y + -1y2 -8x = -1 + -6y + -1y2 Divide each side by '-8'. x = 0.125 + 0.75y + 0.125y2 Simplifying x = 0.125 + 0.75y + 0.125y2
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