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Simplifying w2 + -2w = -24 Reorder the terms: -2w + w2 = -24 Solving -2w + w2 = -24 Solving for variable 'w'. Reorder the terms: 24 + -2w + w2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -2w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -2w + -24 + w2 = 0 + -24 Reorder the terms: 24 + -24 + -2w + w2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2w + w2 = 0 + -24 -2w + w2 = 0 + -24 Combine like terms: 0 + -24 = -24 -2w + w2 = -24 The w term is -2w. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2w + 1 + w2 = -24 + 1 Reorder the terms: 1 + -2w + w2 = -24 + 1 Combine like terms: -24 + 1 = -23 1 + -2w + w2 = -23 Factor a perfect square on the left side: (w + -1)(w + -1) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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