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Simplifying y2 + 20x + 10y + 65 = 0 Reorder the terms: 65 + 20x + 10y + y2 = 0 Solving 65 + 20x + 10y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + 20x + 10y + -65 + y2 = 0 + -65 Reorder the terms: 65 + -65 + 20x + 10y + y2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 20x + 10y + y2 = 0 + -65 20x + 10y + y2 = 0 + -65 Combine like terms: 0 + -65 = -65 20x + 10y + y2 = -65 Add '-10y' to each side of the equation. 20x + 10y + -10y + y2 = -65 + -10y Combine like terms: 10y + -10y = 0 20x + 0 + y2 = -65 + -10y 20x + y2 = -65 + -10y Add '-1y2' to each side of the equation. 20x + y2 + -1y2 = -65 + -10y + -1y2 Combine like terms: y2 + -1y2 = 0 20x + 0 = -65 + -10y + -1y2 20x = -65 + -10y + -1y2 Divide each side by '20'. x = -3.25 + -0.5y + -0.05y2 Simplifying x = -3.25 + -0.5y + -0.05y2
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