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Simplifying b2 + -8b = -60 Reorder the terms: -8b + b2 = -60 Solving -8b + b2 = -60 Solving for variable 'b'. Reorder the terms: 60 + -8b + b2 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + -8b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -8b + -60 + b2 = 0 + -60 Reorder the terms: 60 + -60 + -8b + b2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -8b + b2 = 0 + -60 -8b + b2 = 0 + -60 Combine like terms: 0 + -60 = -60 -8b + b2 = -60 The b term is -8b. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8b + 16 + b2 = -60 + 16 Reorder the terms: 16 + -8b + b2 = -60 + 16 Combine like terms: -60 + 16 = -44 16 + -8b + b2 = -44 Factor a perfect square on the left side: (b + -4)(b + -4) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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