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Simplifying 4u2 + 6u + 9 = 0 Reorder the terms: 9 + 6u + 4u2 = 0 Solving 9 + 6u + 4u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + 1.5u + u2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 1.5u + -2.25 + u2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + 1.5u + u2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 1.5u + u2 = 0 + -2.25 1.5u + u2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 1.5u + u2 = -2.25 The u term is 1.5u. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5u + 0.5625 + u2 = -2.25 + 0.5625 Reorder the terms: 0.5625 + 1.5u + u2 = -2.25 + 0.5625 Combine like terms: -2.25 + 0.5625 = -1.6875 0.5625 + 1.5u + u2 = -1.6875 Factor a perfect square on the left side: (u + 0.75)(u + 0.75) = -1.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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