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Simplifying b2 + 24 + 2b = 0 Reorder the terms: 24 + 2b + b2 = 0 Solving 24 + 2b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 2b + -24 + b2 = 0 + -24 Reorder the terms: 24 + -24 + 2b + b2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2b + b2 = 0 + -24 2b + b2 = 0 + -24 Combine like terms: 0 + -24 = -24 2b + b2 = -24 The b term is 2b. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2b + 1 + b2 = -24 + 1 Reorder the terms: 1 + 2b + b2 = -24 + 1 Combine like terms: -24 + 1 = -23 1 + 2b + b2 = -23 Factor a perfect square on the left side: (b + 1)(b + 1) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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