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Simplifying x2 + 0.1x + 1 = 0 Reorder the terms: 1 + 0.1x + x2 = 0 Solving 1 + 0.1x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.1x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.1x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.1x + x2 = 0 + -1 0.1x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.1x + x2 = -1 The x term is 0.1x. Take half its coefficient (0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. 0.1x + 0.0025 + x2 = -1 + 0.0025 Reorder the terms: 0.0025 + 0.1x + x2 = -1 + 0.0025 Combine like terms: -1 + 0.0025 = -0.9975 0.0025 + 0.1x + x2 = -0.9975 Factor a perfect square on the left side: (x + 0.05)(x + 0.05) = -0.9975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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