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Simplifying 15u2 + 17u + 6 = 0 Reorder the terms: 6 + 17u + 15u2 = 0 Solving 6 + 17u + 15u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.4 + 1.133333333u + u2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 1.133333333u + -0.4 + u2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 1.133333333u + u2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 1.133333333u + u2 = 0 + -0.4 1.133333333u + u2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 1.133333333u + u2 = -0.4 The u term is 1.133333333u. Take half its coefficient (0.5666666665). Square it (0.3211111109) and add it to both sides. Add '0.3211111109' to each side of the equation. 1.133333333u + 0.3211111109 + u2 = -0.4 + 0.3211111109 Reorder the terms: 0.3211111109 + 1.133333333u + u2 = -0.4 + 0.3211111109 Combine like terms: -0.4 + 0.3211111109 = -0.0788888891 0.3211111109 + 1.133333333u + u2 = -0.0788888891 Factor a perfect square on the left side: (u + 0.5666666665)(u + 0.5666666665) = -0.0788888891 Can't calculate square root of the right side. The solution to this equation could not be determined.
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