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Simplifying b2 + b = -20 Reorder the terms: b + b2 = -20 Solving b + b2 = -20 Solving for variable 'b'. Reorder the terms: 20 + b + b2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + b + -20 + b2 = 0 + -20 Reorder the terms: 20 + -20 + b + b2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + b + b2 = 0 + -20 b + b2 = 0 + -20 Combine like terms: 0 + -20 = -20 b + b2 = -20 The b term is b. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. b + 0.25 + b2 = -20 + 0.25 Reorder the terms: 0.25 + b + b2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + b + b2 = -19.75 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -19.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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