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Simplifying b2 = 2b + -8 Reorder the terms: b2 = -8 + 2b Solving b2 = -8 + 2b Solving for variable 'b'. Reorder the terms: 8 + -2b + b2 = -8 + 2b + 8 + -2b Reorder the terms: 8 + -2b + b2 = -8 + 8 + 2b + -2b Combine like terms: -8 + 8 = 0 8 + -2b + b2 = 0 + 2b + -2b 8 + -2b + b2 = 2b + -2b Combine like terms: 2b + -2b = 0 8 + -2b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2b + -8 + b2 = 0 + -8 Reorder the terms: 8 + -8 + -2b + b2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2b + b2 = 0 + -8 -2b + b2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2b + b2 = -8 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 = -8 + 1 Reorder the terms: 1 + -2b + b2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2b + b2 = -7 Factor a perfect square on the left side: (b + -1)(b + -1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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