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Simplifying 2u2 + 15u = -30 Reorder the terms: 15u + 2u2 = -30 Solving 15u + 2u2 = -30 Solving for variable 'u'. Reorder the terms: 30 + 15u + 2u2 = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 15u + 2u2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 15 + 7.5u + u2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + 7.5u + -15 + u2 = 0 + -15 Reorder the terms: 15 + -15 + 7.5u + u2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7.5u + u2 = 0 + -15 7.5u + u2 = 0 + -15 Combine like terms: 0 + -15 = -15 7.5u + u2 = -15 The u term is 7.5u. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5u + 14.0625 + u2 = -15 + 14.0625 Reorder the terms: 14.0625 + 7.5u + u2 = -15 + 14.0625 Combine like terms: -15 + 14.0625 = -0.9375 14.0625 + 7.5u + u2 = -0.9375 Factor a perfect square on the left side: (u + 3.75)(u + 3.75) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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