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Simplifying y2 + 8y + 8x + 40 = 0 Reorder the terms: 40 + 8x + 8y + y2 = 0 Solving 40 + 8x + 8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 8x + 8y + -40 + y2 = 0 + -40 Reorder the terms: 40 + -40 + 8x + 8y + y2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8x + 8y + y2 = 0 + -40 8x + 8y + y2 = 0 + -40 Combine like terms: 0 + -40 = -40 8x + 8y + y2 = -40 Add '-8y' to each side of the equation. 8x + 8y + -8y + y2 = -40 + -8y Combine like terms: 8y + -8y = 0 8x + 0 + y2 = -40 + -8y 8x + y2 = -40 + -8y Add '-1y2' to each side of the equation. 8x + y2 + -1y2 = -40 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 8x + 0 = -40 + -8y + -1y2 8x = -40 + -8y + -1y2 Divide each side by '8'. x = -5 + -1y + -0.125y2 Simplifying x = -5 + -1y + -0.125y2
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