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Simplifying 0 = -5u2 + 19u + -19 Reorder the terms: 0 = -19 + 19u + -5u2 Solving 0 = -19 + 19u + -5u2 Solving for variable 'u'. Combine like terms: 0 + 19 = 19 19 + -19u + 5u2 = -19 + 19u + -5u2 + 19 + -19u + 5u2 Reorder the terms: 19 + -19u + 5u2 = -19 + 19 + 19u + -19u + -5u2 + 5u2 Combine like terms: -19 + 19 = 0 19 + -19u + 5u2 = 0 + 19u + -19u + -5u2 + 5u2 19 + -19u + 5u2 = 19u + -19u + -5u2 + 5u2 Combine like terms: 19u + -19u = 0 19 + -19u + 5u2 = 0 + -5u2 + 5u2 19 + -19u + 5u2 = -5u2 + 5u2 Combine like terms: -5u2 + 5u2 = 0 19 + -19u + 5u2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.8 + -3.8u + u2 = 0 Move the constant term to the right: Add '-3.8' to each side of the equation. 3.8 + -3.8u + -3.8 + u2 = 0 + -3.8 Reorder the terms: 3.8 + -3.8 + -3.8u + u2 = 0 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -3.8u + u2 = 0 + -3.8 -3.8u + u2 = 0 + -3.8 Combine like terms: 0 + -3.8 = -3.8 -3.8u + u2 = -3.8 The u term is -3.8u. Take half its coefficient (-1.9). Square it (3.61) and add it to both sides. Add '3.61' to each side of the equation. -3.8u + 3.61 + u2 = -3.8 + 3.61 Reorder the terms: 3.61 + -3.8u + u2 = -3.8 + 3.61 Combine like terms: -3.8 + 3.61 = -0.19 3.61 + -3.8u + u2 = -0.19 Factor a perfect square on the left side: (u + -1.9)(u + -1.9) = -0.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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