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Simplifying (9u2 + 3u + 3) + (7u2 + -3u + 1) + -1(6u2 + -4u + 3) = 0 Reorder the terms: (3 + 3u + 9u2) + (7u2 + -3u + 1) + -1(6u2 + -4u + 3) = 0 Remove parenthesis around (3 + 3u + 9u2) 3 + 3u + 9u2 + (7u2 + -3u + 1) + -1(6u2 + -4u + 3) = 0 Reorder the terms: 3 + 3u + 9u2 + (1 + -3u + 7u2) + -1(6u2 + -4u + 3) = 0 Remove parenthesis around (1 + -3u + 7u2) 3 + 3u + 9u2 + 1 + -3u + 7u2 + -1(6u2 + -4u + 3) = 0 Reorder the terms: 3 + 3u + 9u2 + 1 + -3u + 7u2 + -1(3 + -4u + 6u2) = 0 3 + 3u + 9u2 + 1 + -3u + 7u2 + (3 * -1 + -4u * -1 + 6u2 * -1) = 0 3 + 3u + 9u2 + 1 + -3u + 7u2 + (-3 + 4u + -6u2) = 0 Reorder the terms: 3 + 1 + -3 + 3u + -3u + 4u + 9u2 + 7u2 + -6u2 = 0 Combine like terms: 3 + 1 = 4 4 + -3 + 3u + -3u + 4u + 9u2 + 7u2 + -6u2 = 0 Combine like terms: 4 + -3 = 1 1 + 3u + -3u + 4u + 9u2 + 7u2 + -6u2 = 0 Combine like terms: 3u + -3u = 0 1 + 0 + 4u + 9u2 + 7u2 + -6u2 = 0 1 + 4u + 9u2 + 7u2 + -6u2 = 0 Combine like terms: 9u2 + 7u2 = 16u2 1 + 4u + 16u2 + -6u2 = 0 Combine like terms: 16u2 + -6u2 = 10u2 1 + 4u + 10u2 = 0 Solving 1 + 4u + 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'. 0.1 + 0.4u + u2 = 0.0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + 0.4u + -0.1 + u2 = 0.0 + -0.1 Reorder the terms: 0.1 + -0.1 + 0.4u + u2 = 0.0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.4u + u2 = 0.0 + -0.1 0.4u + u2 = 0.0 + -0.1 Combine like terms: 0.0 + -0.1 = -0.1 0.4u + u2 = -0.1 The u term is 0.4u. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4u + 0.04 + u2 = -0.1 + 0.04 Reorder the terms: 0.04 + 0.4u + u2 = -0.1 + 0.04 Combine like terms: -0.1 + 0.04 = -0.06 0.04 + 0.4u + u2 = -0.06 Factor a perfect square on the left side: (u + 0.2)(u + 0.2) = -0.06 Can't calculate square root of the right side. The solution to this equation could not be determined.
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