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Simplifying x2 + 5.5x + 9.5 = 0 Reorder the terms: 9.5 + 5.5x + x2 = 0 Solving 9.5 + 5.5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9.5' to each side of the equation. 9.5 + 5.5x + -9.5 + x2 = 0 + -9.5 Reorder the terms: 9.5 + -9.5 + 5.5x + x2 = 0 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 5.5x + x2 = 0 + -9.5 5.5x + x2 = 0 + -9.5 Combine like terms: 0 + -9.5 = -9.5 5.5x + x2 = -9.5 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = -9.5 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = -9.5 + 7.5625 Combine like terms: -9.5 + 7.5625 = -1.9375 7.5625 + 5.5x + x2 = -1.9375 Factor a perfect square on the left side: (x + 2.75)(x + 2.75) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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