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Simplifying 4u2 + 8u + 15 = 0 Reorder the terms: 15 + 8u + 4u2 = 0 Solving 15 + 8u + 4u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + 2u + u2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + 2u + -3.75 + u2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + 2u + u2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 2u + u2 = 0 + -3.75 2u + u2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 2u + u2 = -3.75 The u term is 2u. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2u + 1 + u2 = -3.75 + 1 Reorder the terms: 1 + 2u + u2 = -3.75 + 1 Combine like terms: -3.75 + 1 = -2.75 1 + 2u + u2 = -2.75 Factor a perfect square on the left side: (u + 1)(u + 1) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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