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Simplifying 5u2 + 4 = -1u Reorder the terms: 4 + 5u2 = -1u Solving 4 + 5u2 = -1u Solving for variable 'u'. Reorder the terms: 4 + u + 5u2 = -1u + u Combine like terms: -1u + u = 0 4 + u + 5u2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 0.2u + u2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 0.2u + -0.8 + u2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 0.2u + u2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.2u + u2 = 0 + -0.8 0.2u + u2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 0.2u + u2 = -0.8 The u term is u. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.2u + 0.25 + u2 = -0.8 + 0.25 Reorder the terms: 0.25 + 0.2u + u2 = -0.8 + 0.25 Combine like terms: -0.8 + 0.25 = -0.55 0.25 + 0.2u + u2 = -0.55 Factor a perfect square on the left side: (u + 0.5)(u + 0.5) = -0.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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