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Simplifying 4u2 + 9u = -12 Reorder the terms: 9u + 4u2 = -12 Solving 9u + 4u2 = -12 Solving for variable 'u'. Reorder the terms: 12 + 9u + 4u2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 9u + 4u2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3 + 2.25u + u2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2.25u + -3 + u2 = 0 + -3 Reorder the terms: 3 + -3 + 2.25u + u2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2.25u + u2 = 0 + -3 2.25u + u2 = 0 + -3 Combine like terms: 0 + -3 = -3 2.25u + u2 = -3 The u term is 2.25u. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25u + 1.265625 + u2 = -3 + 1.265625 Reorder the terms: 1.265625 + 2.25u + u2 = -3 + 1.265625 Combine like terms: -3 + 1.265625 = -1.734375 1.265625 + 2.25u + u2 = -1.734375 Factor a perfect square on the left side: (u + 1.125)(u + 1.125) = -1.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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