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Simplifying u2 + u + -1 = -9 Reorder the terms: -1 + u + u2 = -9 Solving -1 + u + u2 = -9 Solving for variable 'u'. Reorder the terms: -1 + 9 + u + u2 = -9 + 9 Combine like terms: -1 + 9 = 8 8 + u + u2 = -9 + 9 Combine like terms: -9 + 9 = 0 8 + u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + u + -8 + u2 = 0 + -8 Reorder the terms: 8 + -8 + u + u2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + u + u2 = 0 + -8 u + u2 = 0 + -8 Combine like terms: 0 + -8 = -8 u + u2 = -8 The u term is u. 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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