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Simplifying 8u2 + -5u + 9 = 0 Reorder the terms: 9 + -5u + 8u2 = 0 Solving 9 + -5u + 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'. 1.125 + -0.625u + u2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -0.625u + -1.125 + u2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -0.625u + u2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -0.625u + u2 = 0 + -1.125 -0.625u + u2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -0.625u + u2 = -1.125 The u term is -0.625u. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625u + 0.09765625 + u2 = -1.125 + 0.09765625 Reorder the terms: 0.09765625 + -0.625u + u2 = -1.125 + 0.09765625 Combine like terms: -1.125 + 0.09765625 = -1.02734375 0.09765625 + -0.625u + u2 = -1.02734375 Factor a perfect square on the left side: (u + -0.3125)(u + -0.3125) = -1.02734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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