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Simplifying y2 + 6y + 8x + 25 = 0 Reorder the terms: 25 + 8x + 6y + y2 = 0 Solving 25 + 8x + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 8x + 6y + -25 + y2 = 0 + -25 Reorder the terms: 25 + -25 + 8x + 6y + y2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8x + 6y + y2 = 0 + -25 8x + 6y + y2 = 0 + -25 Combine like terms: 0 + -25 = -25 8x + 6y + y2 = -25 Add '-6y' to each side of the equation. 8x + 6y + -6y + y2 = -25 + -6y Combine like terms: 6y + -6y = 0 8x + 0 + y2 = -25 + -6y 8x + y2 = -25 + -6y Add '-1y2' to each side of the equation. 8x + y2 + -1y2 = -25 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 8x + 0 = -25 + -6y + -1y2 8x = -25 + -6y + -1y2 Divide each side by '8'. x = -3.125 + -0.75y + -0.125y2 Simplifying x = -3.125 + -0.75y + -0.125y2
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