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Simplifying 4b2 + 8b + 7 = -4 Reorder the terms: 7 + 8b + 4b2 = -4 Solving 7 + 8b + 4b2 = -4 Solving for variable 'b'. Reorder the terms: 7 + 4 + 8b + 4b2 = -4 + 4 Combine like terms: 7 + 4 = 11 11 + 8b + 4b2 = -4 + 4 Combine like terms: -4 + 4 = 0 11 + 8b + 4b2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + 2b + b2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + 2b + -2.75 + b2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + 2b + b2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + 2b + b2 = 0 + -2.75 2b + b2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 2b + b2 = -2.75 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 = -2.75 + 1 Reorder the terms: 1 + 2b + b2 = -2.75 + 1 Combine like terms: -2.75 + 1 = -1.75 1 + 2b + b2 = -1.75 Factor a perfect square on the left side: (b + 1)(b + 1) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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