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Simplifying w2 + 10w + 77 = 0 Reorder the terms: 77 + 10w + w2 = 0 Solving 77 + 10w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-77' to each side of the equation. 77 + 10w + -77 + w2 = 0 + -77 Reorder the terms: 77 + -77 + 10w + w2 = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 10w + w2 = 0 + -77 10w + w2 = 0 + -77 Combine like terms: 0 + -77 = -77 10w + w2 = -77 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 = -77 + 25 Reorder the terms: 25 + 10w + w2 = -77 + 25 Combine like terms: -77 + 25 = -52 25 + 10w + w2 = -52 Factor a perfect square on the left side: (w + 5)(w + 5) = -52 Can't calculate square root of the right side. The solution to this equation could not be determined.
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