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Simplifying x2 + 3.5x + 17.5625 = 0 Reorder the terms: 17.5625 + 3.5x + x2 = 0 Solving 17.5625 + 3.5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-17.5625' to each side of the equation. 17.5625 + 3.5x + -17.5625 + x2 = 0 + -17.5625 Reorder the terms: 17.5625 + -17.5625 + 3.5x + x2 = 0 + -17.5625 Combine like terms: 17.5625 + -17.5625 = 0.0000 0.0000 + 3.5x + x2 = 0 + -17.5625 3.5x + x2 = 0 + -17.5625 Combine like terms: 0 + -17.5625 = -17.5625 3.5x + x2 = -17.5625 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -17.5625 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -17.5625 + 3.0625 Combine like terms: -17.5625 + 3.0625 = -14.5 3.0625 + 3.5x + x2 = -14.5 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = -14.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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