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Simplifying u2 + -2u + 8 = 0 Reorder the terms: 8 + -2u + u2 = 0 Solving 8 + -2u + u2 = 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 + -2u + -8 + u2 = 0 + -8 Reorder the terms: 8 + -8 + -2u + u2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2u + u2 = 0 + -8 -2u + u2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2u + u2 = -8 The u term is -2u. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2u + 1 + u2 = -8 + 1 Reorder the terms: 1 + -2u + u2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2u + u2 = -7 Factor a perfect square on the left side: (u + -1)(u + -1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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