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Simplifying (3u2 + -6u + -2) + (7u2 + -4u + 5) = 0 Reorder the terms: (-2 + -6u + 3u2) + (7u2 + -4u + 5) = 0 Remove parenthesis around (-2 + -6u + 3u2) -2 + -6u + 3u2 + (7u2 + -4u + 5) = 0 Reorder the terms: -2 + -6u + 3u2 + (5 + -4u + 7u2) = 0 Remove parenthesis around (5 + -4u + 7u2) -2 + -6u + 3u2 + 5 + -4u + 7u2 = 0 Reorder the terms: -2 + 5 + -6u + -4u + 3u2 + 7u2 = 0 Combine like terms: -2 + 5 = 3 3 + -6u + -4u + 3u2 + 7u2 = 0 Combine like terms: -6u + -4u = -10u 3 + -10u + 3u2 + 7u2 = 0 Combine like terms: 3u2 + 7u2 = 10u2 3 + -10u + 10u2 = 0 Solving 3 + -10u + 10u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.3 + -1u + u2 = 0.0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -1u + -0.3 + u2 = 0.0 + -0.3 Reorder the terms: 0.3 + -0.3 + -1u + u2 = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -1u + u2 = 0.0 + -0.3 -1u + u2 = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 -1u + u2 = -0.3 The u term is -1u. 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. -1u + 0.25 + u2 = -0.3 + 0.25 Reorder the terms: 0.25 + -1u + u2 = -0.3 + 0.25 Combine like terms: -0.3 + 0.25 = -0.05 0.25 + -1u + u2 = -0.05 Factor a perfect square on the left side: (u + -0.5)(u + -0.5) = -0.05 Can't calculate square root of the right side. The solution to this equation could not be determined.
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