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Simplifying y2 + 2xy + 4y + x + 14 = 0 Reorder the terms: 14 + x + 2xy + 4y + y2 = 0 Solving 14 + x + 2xy + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + x + 2xy + 4y + -14 + y2 = 0 + -14 Reorder the terms: 14 + -14 + x + 2xy + 4y + y2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x + 2xy + 4y + y2 = 0 + -14 x + 2xy + 4y + y2 = 0 + -14 Combine like terms: 0 + -14 = -14 x + 2xy + 4y + y2 = -14 Add '-4y' to each side of the equation. x + 2xy + 4y + -4y + y2 = -14 + -4y Combine like terms: 4y + -4y = 0 x + 2xy + 0 + y2 = -14 + -4y x + 2xy + y2 = -14 + -4y Add '-1y2' to each side of the equation. x + 2xy + y2 + -1y2 = -14 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 x + 2xy + 0 = -14 + -4y + -1y2 x + 2xy = -14 + -4y + -1y2 Reorder the terms: 14 + x + 2xy + 4y + y2 = -14 + -4y + -1y2 + 14 + 4y + y2 Reorder the terms: 14 + x + 2xy + 4y + y2 = -14 + 14 + -4y + 4y + -1y2 + y2 Combine like terms: -14 + 14 = 0 14 + x + 2xy + 4y + y2 = 0 + -4y + 4y + -1y2 + y2 14 + x + 2xy + 4y + y2 = -4y + 4y + -1y2 + y2 Combine like terms: -4y + 4y = 0 14 + x + 2xy + 4y + y2 = 0 + -1y2 + y2 14 + x + 2xy + 4y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 14 + x + 2xy + 4y + y2 = 0 The solution to this equation could not be determined.
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