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Simplifying 4u2 + -15u + 18 = 0 Reorder the terms: 18 + -15u + 4u2 = 0 Solving 18 + -15u + 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'. 4.5 + -3.75u + u2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -3.75u + -4.5 + u2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -3.75u + u2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -3.75u + u2 = 0 + -4.5 -3.75u + u2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -3.75u + u2 = -4.5 The u term is -3.75u. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75u + 3.515625 + u2 = -4.5 + 3.515625 Reorder the terms: 3.515625 + -3.75u + u2 = -4.5 + 3.515625 Combine like terms: -4.5 + 3.515625 = -0.984375 3.515625 + -3.75u + u2 = -0.984375 Factor a perfect square on the left side: (u + -1.875)(u + -1.875) = -0.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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