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Simplifying 2w2 + 11w + 68 = 0 Reorder the terms: 68 + 11w + 2w2 = 0 Solving 68 + 11w + 2w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 34 + 5.5w + w2 = 0 Move the constant term to the right: Add '-34' to each side of the equation. 34 + 5.5w + -34 + w2 = 0 + -34 Reorder the terms: 34 + -34 + 5.5w + w2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 5.5w + w2 = 0 + -34 5.5w + w2 = 0 + -34 Combine like terms: 0 + -34 = -34 5.5w + w2 = -34 The w term is 5.5w. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5w + 7.5625 + w2 = -34 + 7.5625 Reorder the terms: 7.5625 + 5.5w + w2 = -34 + 7.5625 Combine like terms: -34 + 7.5625 = -26.4375 7.5625 + 5.5w + w2 = -26.4375 Factor a perfect square on the left side: (w + 2.75)(w + 2.75) = -26.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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