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Simplifying b2 + 2b + 17 = 0 Reorder the terms: 17 + 2b + b2 = 0 Solving 17 + 2b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 2b + -17 + b2 = 0 + -17 Reorder the terms: 17 + -17 + 2b + b2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2b + b2 = 0 + -17 2b + b2 = 0 + -17 Combine like terms: 0 + -17 = -17 2b + b2 = -17 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 = -17 + 1 Reorder the terms: 1 + 2b + b2 = -17 + 1 Combine like terms: -17 + 1 = -16 1 + 2b + b2 = -16 Factor a perfect square on the left side: (b + 1)(b + 1) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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