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Simplifying b2 + 7b + 60 = 0 Reorder the terms: 60 + 7b + b2 = 0 Solving 60 + 7b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 7b + -60 + b2 = 0 + -60 Reorder the terms: 60 + -60 + 7b + b2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 7b + b2 = 0 + -60 7b + b2 = 0 + -60 Combine like terms: 0 + -60 = -60 7b + b2 = -60 The b term is 7b. 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. 7b + 12.25 + b2 = -60 + 12.25 Reorder the terms: 12.25 + 7b + b2 = -60 + 12.25 Combine like terms: -60 + 12.25 = -47.75 12.25 + 7b + b2 = -47.75 Factor a perfect square on the left side: (b + 3.5)(b + 3.5) = -47.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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