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Simplifying (u2 + -1) = 2u + -5 Reorder the terms: (-1 + u2) = 2u + -5 Remove parenthesis around (-1 + u2) -1 + u2 = 2u + -5 Reorder the terms: -1 + u2 = -5 + 2u Solving -1 + u2 = -5 + 2u Solving for variable 'u'. Reorder the terms: -1 + 5 + -2u + u2 = -5 + 2u + 5 + -2u Combine like terms: -1 + 5 = 4 4 + -2u + u2 = -5 + 2u + 5 + -2u Reorder the terms: 4 + -2u + u2 = -5 + 5 + 2u + -2u Combine like terms: -5 + 5 = 0 4 + -2u + u2 = 0 + 2u + -2u 4 + -2u + u2 = 2u + -2u Combine like terms: 2u + -2u = 0 4 + -2u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2u + -4 + u2 = 0 + -4 Reorder the terms: 4 + -4 + -2u + u2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2u + u2 = 0 + -4 -2u + u2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2u + u2 = -4 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 = -4 + 1 Reorder the terms: 1 + -2u + u2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + -2u + u2 = -3 Factor a perfect square on the left side: (u + -1)(u + -1) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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