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Simplifying w2 + 12w + 85 = 0 Reorder the terms: 85 + 12w + w2 = 0 Solving 85 + 12w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-85' to each side of the equation. 85 + 12w + -85 + w2 = 0 + -85 Reorder the terms: 85 + -85 + 12w + w2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 12w + w2 = 0 + -85 12w + w2 = 0 + -85 Combine like terms: 0 + -85 = -85 12w + w2 = -85 The w term is 12w. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12w + 36 + w2 = -85 + 36 Reorder the terms: 36 + 12w + w2 = -85 + 36 Combine like terms: -85 + 36 = -49 36 + 12w + w2 = -49 Factor a perfect square on the left side: (w + 6)(w + 6) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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