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Simplifying 6u2 + -3u + 22 = 0 Reorder the terms: 22 + -3u + 6u2 = 0 Solving 22 + -3u + 6u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 3.666666667 + -0.5u + u2 = 0 Move the constant term to the right: Add '-3.666666667' to each side of the equation. 3.666666667 + -0.5u + -3.666666667 + u2 = 0 + -3.666666667 Reorder the terms: 3.666666667 + -3.666666667 + -0.5u + u2 = 0 + -3.666666667 Combine like terms: 3.666666667 + -3.666666667 = 0.000000000 0.000000000 + -0.5u + u2 = 0 + -3.666666667 -0.5u + u2 = 0 + -3.666666667 Combine like terms: 0 + -3.666666667 = -3.666666667 -0.5u + u2 = -3.666666667 The u term is -0.5u. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5u + 0.0625 + u2 = -3.666666667 + 0.0625 Reorder the terms: 0.0625 + -0.5u + u2 = -3.666666667 + 0.0625 Combine like terms: -3.666666667 + 0.0625 = -3.604166667 0.0625 + -0.5u + u2 = -3.604166667 Factor a perfect square on the left side: (u + -0.25)(u + -0.25) = -3.604166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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