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Simplifying 9u4 + 11u2 + 4 = 0 Reorder the terms: 4 + 11u2 + 9u4 = 0 Solving 4 + 11u2 + 9u4 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + 1.222222222u2 + u4 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + 1.222222222u2 + -0.4444444444 + u4 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + 1.222222222u2 + u4 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + 1.222222222u2 + u4 = 0 + -0.4444444444 1.222222222u2 + u4 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 1.222222222u2 + u4 = -0.4444444444 The u term is 1.222222222u2. Take half its coefficient (0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. 1.222222222u2 + 0.3734567900 + u4 = -0.4444444444 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222u2 + u4 = -0.4444444444 + 0.3734567900 Combine like terms: -0.4444444444 + 0.3734567900 = -0.0709876544 0.3734567900 + 1.222222222u2 + u4 = -0.0709876544 Factor a perfect square on the left side: (u2 + 0.611111111)(u2 + 0.611111111) = -0.0709876544 Can't calculate square root of the right side. The solution to this equation could not be determined.
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