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Simplifying 8u2 + 8u + 7 = 0 Reorder the terms: 7 + 8u + 8u2 = 0 Solving 7 + 8u + 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'. 0.875 + u + u2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + u + -0.875 + u2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + u + u2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + u + u2 = 0 + -0.875 u + u2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 u + u2 = -0.875 The u term is u. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + u2 = -0.875 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + u2 = -0.875 + 0.25 Combine like terms: -0.875 + 0.25 = -0.625 1.25 + u2 = -0.625 Factor a perfect square on the left side: (u + 0.5)(u + 0.5) = -0.625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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