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Simplifying b2 + 9b + 22 = 0 Reorder the terms: 22 + 9b + b2 = 0 Solving 22 + 9b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 9b + -22 + b2 = 0 + -22 Reorder the terms: 22 + -22 + 9b + b2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9b + b2 = 0 + -22 9b + b2 = 0 + -22 Combine like terms: 0 + -22 = -22 9b + b2 = -22 The b term is 9b. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9b + 20.25 + b2 = -22 + 20.25 Reorder the terms: 20.25 + 9b + b2 = -22 + 20.25 Combine like terms: -22 + 20.25 = -1.75 20.25 + 9b + b2 = -1.75 Factor a perfect square on the left side: (b + 4.5)(b + 4.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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