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Simplifying 4w2 + -18w + 81 = 0 Reorder the terms: 81 + -18w + 4w2 = 0 Solving 81 + -18w + 4w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 20.25 + -4.5w + w2 = 0 Move the constant term to the right: Add '-20.25' to each side of the equation. 20.25 + -4.5w + -20.25 + w2 = 0 + -20.25 Reorder the terms: 20.25 + -20.25 + -4.5w + w2 = 0 + -20.25 Combine like terms: 20.25 + -20.25 = 0.00 0.00 + -4.5w + w2 = 0 + -20.25 -4.5w + w2 = 0 + -20.25 Combine like terms: 0 + -20.25 = -20.25 -4.5w + w2 = -20.25 The w term is -4.5w. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5w + 5.0625 + w2 = -20.25 + 5.0625 Reorder the terms: 5.0625 + -4.5w + w2 = -20.25 + 5.0625 Combine like terms: -20.25 + 5.0625 = -15.1875 5.0625 + -4.5w + w2 = -15.1875 Factor a perfect square on the left side: (w + -2.25)(w + -2.25) = -15.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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