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Simplifying y2 + 2y + 6x + 19 = 0 Reorder the terms: 19 + 6x + 2y + y2 = 0 Solving 19 + 6x + 2y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 6x + 2y + -19 + y2 = 0 + -19 Reorder the terms: 19 + -19 + 6x + 2y + y2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6x + 2y + y2 = 0 + -19 6x + 2y + y2 = 0 + -19 Combine like terms: 0 + -19 = -19 6x + 2y + y2 = -19 Add '-2y' to each side of the equation. 6x + 2y + -2y + y2 = -19 + -2y Combine like terms: 2y + -2y = 0 6x + 0 + y2 = -19 + -2y 6x + y2 = -19 + -2y Add '-1y2' to each side of the equation. 6x + y2 + -1y2 = -19 + -2y + -1y2 Combine like terms: y2 + -1y2 = 0 6x + 0 = -19 + -2y + -1y2 6x = -19 + -2y + -1y2 Divide each side by '6'. x = -3.166666667 + -0.3333333333y + -0.1666666667y2 Simplifying x = -3.166666667 + -0.3333333333y + -0.1666666667y2
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