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Simplifying y2 + 3x + 8y + 19 = 0 Reorder the terms: 19 + 3x + 8y + y2 = 0 Solving 19 + 3x + 8y + 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 + 3x + 8y + -19 + y2 = 0 + -19 Reorder the terms: 19 + -19 + 3x + 8y + y2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3x + 8y + y2 = 0 + -19 3x + 8y + y2 = 0 + -19 Combine like terms: 0 + -19 = -19 3x + 8y + y2 = -19 Add '-8y' to each side of the equation. 3x + 8y + -8y + y2 = -19 + -8y Combine like terms: 8y + -8y = 0 3x + 0 + y2 = -19 + -8y 3x + y2 = -19 + -8y Add '-1y2' to each side of the equation. 3x + y2 + -1y2 = -19 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 3x + 0 = -19 + -8y + -1y2 3x = -19 + -8y + -1y2 Divide each side by '3'. x = -6.333333333 + -2.666666667y + -0.3333333333y2 Simplifying x = -6.333333333 + -2.666666667y + -0.3333333333y2
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