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Simplifying y2 + 3x + 10y + 16 = 0 Reorder the terms: 16 + 3x + 10y + y2 = 0 Solving 16 + 3x + 10y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 3x + 10y + -16 + y2 = 0 + -16 Reorder the terms: 16 + -16 + 3x + 10y + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x + 10y + y2 = 0 + -16 3x + 10y + y2 = 0 + -16 Combine like terms: 0 + -16 = -16 3x + 10y + y2 = -16 Add '-10y' to each side of the equation. 3x + 10y + -10y + y2 = -16 + -10y Combine like terms: 10y + -10y = 0 3x + 0 + y2 = -16 + -10y 3x + y2 = -16 + -10y Add '-1y2' to each side of the equation. 3x + y2 + -1y2 = -16 + -10y + -1y2 Combine like terms: y2 + -1y2 = 0 3x + 0 = -16 + -10y + -1y2 3x = -16 + -10y + -1y2 Divide each side by '3'. x = -5.333333333 + -3.333333333y + -0.3333333333y2 Simplifying x = -5.333333333 + -3.333333333y + -0.3333333333y2
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