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Simplifying (6u2 + -2u + 7) + (-5u2 + 3u + 1) = 0 Reorder the terms: (7 + -2u + 6u2) + (-5u2 + 3u + 1) = 0 Remove parenthesis around (7 + -2u + 6u2) 7 + -2u + 6u2 + (-5u2 + 3u + 1) = 0 Reorder the terms: 7 + -2u + 6u2 + (1 + 3u + -5u2) = 0 Remove parenthesis around (1 + 3u + -5u2) 7 + -2u + 6u2 + 1 + 3u + -5u2 = 0 Reorder the terms: 7 + 1 + -2u + 3u + 6u2 + -5u2 = 0 Combine like terms: 7 + 1 = 8 8 + -2u + 3u + 6u2 + -5u2 = 0 Combine like terms: -2u + 3u = 1u 8 + 1u + 6u2 + -5u2 = 0 Combine like terms: 6u2 + -5u2 = 1u2 8 + 1u + 1u2 = 0 Solving 8 + 1u + 1u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 1u + -8 + u2 = 0 + -8 Reorder the terms: 8 + -8 + 1u + u2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1u + u2 = 0 + -8 1u + u2 = 0 + -8 Combine like terms: 0 + -8 = -8 1u + u2 = -8 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 = -8 + 0.25 Reorder the terms: 0.25 + u + u2 = -8 + 0.25 Combine like terms: -8 + 0.25 = -7.75 0.25 + u + u2 = -7.75 Factor a perfect square on the left side: (u + 0.5)(u + 0.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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