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Simplifying w2 + 19w + 5670 = 0 Reorder the terms: 5670 + 19w + w2 = 0 Solving 5670 + 19w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-5670' to each side of the equation. 5670 + 19w + -5670 + w2 = 0 + -5670 Reorder the terms: 5670 + -5670 + 19w + w2 = 0 + -5670 Combine like terms: 5670 + -5670 = 0 0 + 19w + w2 = 0 + -5670 19w + w2 = 0 + -5670 Combine like terms: 0 + -5670 = -5670 19w + w2 = -5670 The w term is 19w. Take half its coefficient (9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. 19w + 90.25 + w2 = -5670 + 90.25 Reorder the terms: 90.25 + 19w + w2 = -5670 + 90.25 Combine like terms: -5670 + 90.25 = -5579.75 90.25 + 19w + w2 = -5579.75 Factor a perfect square on the left side: (w + 9.5)(w + 9.5) = -5579.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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