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Simplifying 8b2 = -8b + -5 Reorder the terms: 8b2 = -5 + -8b Solving 8b2 = -5 + -8b Solving for variable 'b'. Reorder the terms: 5 + 8b + 8b2 = -5 + -8b + 5 + 8b Reorder the terms: 5 + 8b + 8b2 = -5 + 5 + -8b + 8b Combine like terms: -5 + 5 = 0 5 + 8b + 8b2 = 0 + -8b + 8b 5 + 8b + 8b2 = -8b + 8b Combine like terms: -8b + 8b = 0 5 + 8b + 8b2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + b + b2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + b + -0.625 + b2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + b + b2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + b + b2 = 0 + -0.625 b + b2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 b + b2 = -0.625 The b term is b. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + b2 = -0.625 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + b2 = -0.625 + 0.25 Combine like terms: -0.625 + 0.25 = -0.375 1.25 + b2 = -0.375 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -0.375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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