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Simplifying b2 = 8 + 8b + -50 + -5 Reorder the terms: b2 = 8 + -50 + -5 + 8b Combine like terms: 8 + -50 = -42 b2 = -42 + -5 + 8b Combine like terms: -42 + -5 = -47 b2 = -47 + 8b Solving b2 = -47 + 8b Solving for variable 'b'. Reorder the terms: 47 + -8b + b2 = -47 + 8b + 47 + -8b Reorder the terms: 47 + -8b + b2 = -47 + 47 + 8b + -8b Combine like terms: -47 + 47 = 0 47 + -8b + b2 = 0 + 8b + -8b 47 + -8b + b2 = 8b + -8b Combine like terms: 8b + -8b = 0 47 + -8b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-47' to each side of the equation. 47 + -8b + -47 + b2 = 0 + -47 Reorder the terms: 47 + -47 + -8b + b2 = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -8b + b2 = 0 + -47 -8b + b2 = 0 + -47 Combine like terms: 0 + -47 = -47 -8b + b2 = -47 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 = -47 + 16 Reorder the terms: 16 + -8b + b2 = -47 + 16 Combine like terms: -47 + 16 = -31 16 + -8b + b2 = -31 Factor a perfect square on the left side: (b + -4)(b + -4) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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