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