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Simplifying (3u2 + -6u + 5) + (-2u2 + 7u + 1) = 0 Reorder the terms: (5 + -6u + 3u2) + (-2u2 + 7u + 1) = 0 Remove parenthesis around (5 + -6u + 3u2) 5 + -6u + 3u2 + (-2u2 + 7u + 1) = 0 Reorder the terms: 5 + -6u + 3u2 + (1 + 7u + -2u2) = 0 Remove parenthesis around (1 + 7u + -2u2) 5 + -6u + 3u2 + 1 + 7u + -2u2 = 0 Reorder the terms: 5 + 1 + -6u + 7u + 3u2 + -2u2 = 0 Combine like terms: 5 + 1 = 6 6 + -6u + 7u + 3u2 + -2u2 = 0 Combine like terms: -6u + 7u = 1u 6 + 1u + 3u2 + -2u2 = 0 Combine like terms: 3u2 + -2u2 = 1u2 6 + 1u + 1u2 = 0 Solving 6 + 1u + 1u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 1u + -6 + u2 = 0 + -6 Reorder the terms: 6 + -6 + 1u + u2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1u + u2 = 0 + -6 1u + u2 = 0 + -6 Combine like terms: 0 + -6 = -6 1u + u2 = -6 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. u + 0.25 + u2 = -6 + 0.25 Reorder the terms: 0.25 + u + u2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + u + u2 = -5.75 Factor a perfect square on the left side: (u + 0.5)(u + 0.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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