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Simplifying 4w2 + 16 = -11w Reorder the terms: 16 + 4w2 = -11w Solving 16 + 4w2 = -11w Solving for variable 'w'. Reorder the terms: 16 + 11w + 4w2 = -11w + 11w Combine like terms: -11w + 11w = 0 16 + 11w + 4w2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4 + 2.75w + w2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 2.75w + -4 + w2 = 0 + -4 Reorder the terms: 4 + -4 + 2.75w + w2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2.75w + w2 = 0 + -4 2.75w + w2 = 0 + -4 Combine like terms: 0 + -4 = -4 2.75w + w2 = -4 The w term is 2.75w. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75w + 1.890625 + w2 = -4 + 1.890625 Reorder the terms: 1.890625 + 2.75w + w2 = -4 + 1.890625 Combine like terms: -4 + 1.890625 = -2.109375 1.890625 + 2.75w + w2 = -2.109375 Factor a perfect square on the left side: (w + 1.375)(w + 1.375) = -2.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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