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Simplifying y2 + 6y + 8x + -15 = 0 Reorder the terms: -15 + 8x + 6y + y2 = 0 Solving -15 + 8x + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 8x + 6y + 15 + y2 = 0 + 15 Reorder the terms: -15 + 15 + 8x + 6y + y2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8x + 6y + y2 = 0 + 15 8x + 6y + y2 = 0 + 15 Combine like terms: 0 + 15 = 15 8x + 6y + y2 = 15 Add '-6y' to each side of the equation. 8x + 6y + -6y + y2 = 15 + -6y Combine like terms: 6y + -6y = 0 8x + 0 + y2 = 15 + -6y 8x + y2 = 15 + -6y Add '-1y2' to each side of the equation. 8x + y2 + -1y2 = 15 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 8x + 0 = 15 + -6y + -1y2 8x = 15 + -6y + -1y2 Divide each side by '8'. x = 1.875 + -0.75y + -0.125y2 Simplifying x = 1.875 + -0.75y + -0.125y2
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