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Simplifying U2 + -2U + -4 = -8 Reorder the terms: -4 + -2U + U2 = -8 Solving -4 + -2U + U2 = -8 Solving for variable 'U'. Reorder the terms: -4 + 8 + -2U + U2 = -8 + 8 Combine like terms: -4 + 8 = 4 4 + -2U + U2 = -8 + 8 Combine like terms: -8 + 8 = 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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