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Simplifying x4 + 0.1x2 + 2 = 0 Reorder the terms: 2 + 0.1x2 + x4 = 0 Solving 2 + 0.1x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.1x2 + -2 + x4 = 0 + -2 Reorder the terms: 2 + -2 + 0.1x2 + x4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.1x2 + x4 = 0 + -2 0.1x2 + x4 = 0 + -2 Combine like terms: 0 + -2 = -2 0.1x2 + x4 = -2 The x term is 0.1x2. 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. 0.1x2 + 0.0025 + x4 = -2 + 0.0025 Reorder the terms: 0.0025 + 0.1x2 + x4 = -2 + 0.0025 Combine like terms: -2 + 0.0025 = -1.9975 0.0025 + 0.1x2 + x4 = -1.9975 Factor a perfect square on the left side: (x2 + 0.05)(x2 + 0.05) = -1.9975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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