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Simplifying 2x2 + Y2 + 2xy + 2x + 1 = 0 Reorder the terms: 1 + Y2 + 2x + 2xy + 2x2 = 0 Solving 1 + Y2 + 2x + 2xy + 2x2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + Y2 + 2x + 2xy + -1 + 2x2 = 0 + -1 Reorder the terms: 1 + -1 + Y2 + 2x + 2xy + 2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + Y2 + 2x + 2xy + 2x2 = 0 + -1 Y2 + 2x + 2xy + 2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 Y2 + 2x + 2xy + 2x2 = -1 Add '-2x' to each side of the equation. Y2 + 2x + 2xy + -2x + 2x2 = -1 + -2x Reorder the terms: Y2 + 2x + -2x + 2xy + 2x2 = -1 + -2x Combine like terms: 2x + -2x = 0 Y2 + 0 + 2xy + 2x2 = -1 + -2x Y2 + 2xy + 2x2 = -1 + -2x Add '-2xy' to each side of the equation. Y2 + 2xy + -2xy + 2x2 = -1 + -2x + -2xy Combine like terms: 2xy + -2xy = 0 Y2 + 0 + 2x2 = -1 + -2x + -2xy Y2 + 2x2 = -1 + -2x + -2xy Add '-2x2' to each side of the equation. Y2 + 2x2 + -2x2 = -1 + -2x + -2xy + -2x2 Combine like terms: 2x2 + -2x2 = 0 Y2 + 0 = -1 + -2x + -2xy + -2x2 Y2 = -1 + -2x + -2xy + -2x2 Simplifying Y2 = -1 + -2x + -2xy + -2x2 Reorder the terms: 1 + Y2 + 2x + 2xy + 2x2 = -1 + -2x + -2xy + -2x2 + 1 + 2x + 2xy + 2x2 Reorder the terms: 1 + Y2 + 2x + 2xy + 2x2 = -1 + 1 + -2x + 2x + -2xy + 2xy + -2x2 + 2x2 Combine like terms: -1 + 1 = 0 1 + Y2 + 2x + 2xy + 2x2 = 0 + -2x + 2x + -2xy + 2xy + -2x2 + 2x2 1 + Y2 + 2x + 2xy + 2x2 = -2x + 2x + -2xy + 2xy + -2x2 + 2x2 Combine like terms: -2x + 2x = 0 1 + Y2 + 2x + 2xy + 2x2 = 0 + -2xy + 2xy + -2x2 + 2x2 1 + Y2 + 2x + 2xy + 2x2 = -2xy + 2xy + -2x2 + 2x2 Combine like terms: -2xy + 2xy = 0 1 + Y2 + 2x + 2xy + 2x2 = 0 + -2x2 + 2x2 1 + Y2 + 2x + 2xy + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 1 + Y2 + 2x + 2xy + 2x2 = 0 The solution to this equation could not be determined.
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