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Simplifying 4u2 + -5u + 6 = 0 Reorder the terms: 6 + -5u + 4u2 = 0 Solving 6 + -5u + 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'. 1.5 + -1.25u + u2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -1.25u + -1.5 + u2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -1.25u + u2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.25u + u2 = 0 + -1.5 -1.25u + u2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1.25u + u2 = -1.5 The u term is -1.25u. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25u + 0.390625 + u2 = -1.5 + 0.390625 Reorder the terms: 0.390625 + -1.25u + u2 = -1.5 + 0.390625 Combine like terms: -1.5 + 0.390625 = -1.109375 0.390625 + -1.25u + u2 = -1.109375 Factor a perfect square on the left side: (u + -0.625)(u + -0.625) = -1.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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