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Simplifying b2 = 8b + -22 Reorder the terms: b2 = -22 + 8b Solving b2 = -22 + 8b Solving for variable 'b'. Reorder the terms: 22 + -8b + b2 = -22 + 8b + 22 + -8b Reorder the terms: 22 + -8b + b2 = -22 + 22 + 8b + -8b Combine like terms: -22 + 22 = 0 22 + -8b + b2 = 0 + 8b + -8b 22 + -8b + b2 = 8b + -8b Combine like terms: 8b + -8b = 0 22 + -8b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -8b + -22 + b2 = 0 + -22 Reorder the terms: 22 + -22 + -8b + b2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -8b + b2 = 0 + -22 -8b + b2 = 0 + -22 Combine like terms: 0 + -22 = -22 -8b + b2 = -22 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 = -22 + 16 Reorder the terms: 16 + -8b + b2 = -22 + 16 Combine like terms: -22 + 16 = -6 16 + -8b + b2 = -6 Factor a perfect square on the left side: (b + -4)(b + -4) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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