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Simplifying 4b2 + 8b + 12 = -5 Reorder the terms: 12 + 8b + 4b2 = -5 Solving 12 + 8b + 4b2 = -5 Solving for variable 'b'. Reorder the terms: 12 + 5 + 8b + 4b2 = -5 + 5 Combine like terms: 12 + 5 = 17 17 + 8b + 4b2 = -5 + 5 Combine like terms: -5 + 5 = 0 17 + 8b + 4b2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4.25 + 2b + b2 = 0 Move the constant term to the right: Add '-4.25' to each side of the equation. 4.25 + 2b + -4.25 + b2 = 0 + -4.25 Reorder the terms: 4.25 + -4.25 + 2b + b2 = 0 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + 2b + b2 = 0 + -4.25 2b + b2 = 0 + -4.25 Combine like terms: 0 + -4.25 = -4.25 2b + b2 = -4.25 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 = -4.25 + 1 Reorder the terms: 1 + 2b + b2 = -4.25 + 1 Combine like terms: -4.25 + 1 = -3.25 1 + 2b + b2 = -3.25 Factor a perfect square on the left side: (b + 1)(b + 1) = -3.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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