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Simplifying 2w2 + 11w + 30 = 0 Reorder the terms: 30 + 11w + 2w2 = 0 Solving 30 + 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'. 15 + 5.5w + w2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + 5.5w + -15 + w2 = 0 + -15 Reorder the terms: 15 + -15 + 5.5w + w2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5.5w + w2 = 0 + -15 5.5w + w2 = 0 + -15 Combine like terms: 0 + -15 = -15 5.5w + w2 = -15 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 = -15 + 7.5625 Reorder the terms: 7.5625 + 5.5w + w2 = -15 + 7.5625 Combine like terms: -15 + 7.5625 = -7.4375 7.5625 + 5.5w + w2 = -7.4375 Factor a perfect square on the left side: (w + 2.75)(w + 2.75) = -7.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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