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Simplifying w2 + 10w + 31 = 0 Reorder the terms: 31 + 10w + w2 = 0 Solving 31 + 10w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + 10w + -31 + w2 = 0 + -31 Reorder the terms: 31 + -31 + 10w + w2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 10w + w2 = 0 + -31 10w + w2 = 0 + -31 Combine like terms: 0 + -31 = -31 10w + w2 = -31 The w term is 10w. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10w + 25 + w2 = -31 + 25 Reorder the terms: 25 + 10w + w2 = -31 + 25 Combine like terms: -31 + 25 = -6 25 + 10w + w2 = -6 Factor a perfect square on the left side: (w + 5)(w + 5) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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