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Simplifying 2b2 + 13b + 25 = 0 Reorder the terms: 25 + 13b + 2b2 = 0 Solving 25 + 13b + 2b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12.5 + 6.5b + b2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + 6.5b + -12.5 + b2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + 6.5b + b2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 6.5b + b2 = 0 + -12.5 6.5b + b2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 6.5b + b2 = -12.5 The b term is 6.5b. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5b + 10.5625 + b2 = -12.5 + 10.5625 Reorder the terms: 10.5625 + 6.5b + b2 = -12.5 + 10.5625 Combine like terms: -12.5 + 10.5625 = -1.9375 10.5625 + 6.5b + b2 = -1.9375 Factor a perfect square on the left side: (b + 3.25)(b + 3.25) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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