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Simplifying x4 + -0.4x2 + 0.1 = 0 Reorder the terms: 0.1 + -0.4x2 + x4 = 0 Solving 0.1 + -0.4x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.4x2 + -0.1 + x4 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.4x2 + x4 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.4x2 + x4 = 0 + -0.1 -0.4x2 + x4 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.4x2 + x4 = -0.1 The x term is -0.4x2. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x2 + 0.04 + x4 = -0.1 + 0.04 Reorder the terms: 0.04 + -0.4x2 + x4 = -0.1 + 0.04 Combine like terms: -0.1 + 0.04 = -0.06 0.04 + -0.4x2 + x4 = -0.06 Factor a perfect square on the left side: (x2 + -0.2)(x2 + -0.2) = -0.06 Can't calculate square root of the right side. The solution to this equation could not be determined.
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