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Simplifying 4u2 + -23u + 36 = 0 Reorder the terms: 36 + -23u + 4u2 = 0 Solving 36 + -23u + 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'. 9 + -5.75u + u2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5.75u + -9 + u2 = 0 + -9 Reorder the terms: 9 + -9 + -5.75u + u2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5.75u + u2 = 0 + -9 -5.75u + u2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5.75u + u2 = -9 The u term is -5.75u. Take half its coefficient (-2.875). Square it (8.265625) and add it to both sides. Add '8.265625' to each side of the equation. -5.75u + 8.265625 + u2 = -9 + 8.265625 Reorder the terms: 8.265625 + -5.75u + u2 = -9 + 8.265625 Combine like terms: -9 + 8.265625 = -0.734375 8.265625 + -5.75u + u2 = -0.734375 Factor a perfect square on the left side: (u + -2.875)(u + -2.875) = -0.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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