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Simplifying (8u2) + (3u + 6) = 0 Reorder the terms: (8u2) + (6 + 3u) = 0 Remove parenthesis around (6 + 3u) (8u2) + 6 + 3u = 0 Reorder the terms: 6 + 3u + (8u2) = 0 Solving 6 + 3u + (8u2) = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.75 + 0.375u + u2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 0.375u + -0.75 + u2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 0.375u + u2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.375u + u2 = 0 + -0.75 0.375u + u2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 0.375u + u2 = -0.75 The u term is 0.375u. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375u + 0.03515625 + u2 = -0.75 + 0.03515625 Reorder the terms: 0.03515625 + 0.375u + u2 = -0.75 + 0.03515625 Combine like terms: -0.75 + 0.03515625 = -0.71484375 0.03515625 + 0.375u + u2 = -0.71484375 Factor a perfect square on the left side: ((u) + 0.1875)((u) + 0.1875) = -0.71484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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