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Simplifying w2 + 7w + 40 = 0 Reorder the terms: 40 + 7w + w2 = 0 Solving 40 + 7w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + 7w + -40 + w2 = 0 + -40 Reorder the terms: 40 + -40 + 7w + w2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 7w + w2 = 0 + -40 7w + w2 = 0 + -40 Combine like terms: 0 + -40 = -40 7w + w2 = -40 The w term is 7w. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7w + 12.25 + w2 = -40 + 12.25 Reorder the terms: 12.25 + 7w + w2 = -40 + 12.25 Combine like terms: -40 + 12.25 = -27.75 12.25 + 7w + w2 = -27.75 Factor a perfect square on the left side: (w + 3.5)(w + 3.5) = -27.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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