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Simplifying w2 + 5w + 8 = 0 Reorder the terms: 8 + 5w + w2 = 0 Solving 8 + 5w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 5w + -8 + w2 = 0 + -8 Reorder the terms: 8 + -8 + 5w + w2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5w + w2 = 0 + -8 5w + w2 = 0 + -8 Combine like terms: 0 + -8 = -8 5w + w2 = -8 The w term is 5w. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5w + 6.25 + w2 = -8 + 6.25 Reorder the terms: 6.25 + 5w + w2 = -8 + 6.25 Combine like terms: -8 + 6.25 = -1.75 6.25 + 5w + w2 = -1.75 Factor a perfect square on the left side: (w + 2.5)(w + 2.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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