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Simplifying y2 + 6x + 14y + 43 = 0 Reorder the terms: 43 + 6x + 14y + y2 = 0 Solving 43 + 6x + 14y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + 6x + 14y + -43 + y2 = 0 + -43 Reorder the terms: 43 + -43 + 6x + 14y + y2 = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 6x + 14y + y2 = 0 + -43 6x + 14y + y2 = 0 + -43 Combine like terms: 0 + -43 = -43 6x + 14y + y2 = -43 Add '-14y' to each side of the equation. 6x + 14y + -14y + y2 = -43 + -14y Combine like terms: 14y + -14y = 0 6x + 0 + y2 = -43 + -14y 6x + y2 = -43 + -14y Add '-1y2' to each side of the equation. 6x + y2 + -1y2 = -43 + -14y + -1y2 Combine like terms: y2 + -1y2 = 0 6x + 0 = -43 + -14y + -1y2 6x = -43 + -14y + -1y2 Divide each side by '6'. x = -7.166666667 + -2.333333333y + -0.1666666667y2 Simplifying x = -7.166666667 + -2.333333333y + -0.1666666667y2
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