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Simplifying b2 + b + 4 = -1b2 Reorder the terms: 4 + b + b2 = -1b2 Solving 4 + b + b2 = -1b2 Solving for variable 'b'. Combine like terms: b2 + b2 = 2b2 4 + b + 2b2 = -1b2 + b2 Combine like terms: -1b2 + b2 = 0 4 + b + 2b2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2 + 0.5b + b2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.5b + -2 + b2 = 0 + -2 Reorder the terms: 2 + -2 + 0.5b + b2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5b + b2 = 0 + -2 0.5b + b2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.5b + b2 = -2 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. 0.5b + 0.25 + b2 = -2 + 0.25 Reorder the terms: 0.25 + 0.5b + b2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + 0.5b + b2 = -1.75 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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