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Simplifying y2 + 12x + 6y + -51 = 0 Reorder the terms: -51 + 12x + 6y + y2 = 0 Solving -51 + 12x + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 12x + 6y + 51 + y2 = 0 + 51 Reorder the terms: -51 + 51 + 12x + 6y + y2 = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 12x + 6y + y2 = 0 + 51 12x + 6y + y2 = 0 + 51 Combine like terms: 0 + 51 = 51 12x + 6y + y2 = 51 Add '-6y' to each side of the equation. 12x + 6y + -6y + y2 = 51 + -6y Combine like terms: 6y + -6y = 0 12x + 0 + y2 = 51 + -6y 12x + y2 = 51 + -6y Add '-1y2' to each side of the equation. 12x + y2 + -1y2 = 51 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 12x + 0 = 51 + -6y + -1y2 12x = 51 + -6y + -1y2 Divide each side by '12'. x = 4.25 + -0.5y + -0.08333333333y2 Simplifying x = 4.25 + -0.5y + -0.08333333333y2
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