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Simplifying (3u2 + -4u + 6) + (-1u2 + 5u + 7) = 0 Reorder the terms: (6 + -4u + 3u2) + (-1u2 + 5u + 7) = 0 Remove parenthesis around (6 + -4u + 3u2) 6 + -4u + 3u2 + (-1u2 + 5u + 7) = 0 Reorder the terms: 6 + -4u + 3u2 + (7 + 5u + -1u2) = 0 Remove parenthesis around (7 + 5u + -1u2) 6 + -4u + 3u2 + 7 + 5u + -1u2 = 0 Reorder the terms: 6 + 7 + -4u + 5u + 3u2 + -1u2 = 0 Combine like terms: 6 + 7 = 13 13 + -4u + 5u + 3u2 + -1u2 = 0 Combine like terms: -4u + 5u = 1u 13 + 1u + 3u2 + -1u2 = 0 Combine like terms: 3u2 + -1u2 = 2u2 13 + 1u + 2u2 = 0 Solving 13 + 1u + 2u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6.5 + 0.5u + u2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 0.5u + -6.5 + u2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 0.5u + u2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 0.5u + u2 = 0 + -6.5 0.5u + u2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 0.5u + u2 = -6.5 The u term is 0.5u. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5u + 0.0625 + u2 = -6.5 + 0.0625 Reorder the terms: 0.0625 + 0.5u + u2 = -6.5 + 0.0625 Combine like terms: -6.5 + 0.0625 = -6.4375 0.0625 + 0.5u + u2 = -6.4375 Factor a perfect square on the left side: (u + 0.25)(u + 0.25) = -6.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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