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Simplifying 2b(b + 6) + 19 = 0 Reorder the terms: 2b(6 + b) + 19 = 0 (6 * 2b + b * 2b) + 19 = 0 (12b + 2b2) + 19 = 0 Reorder the terms: 19 + 12b + 2b2 = 0 Solving 19 + 12b + 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'. 9.5 + 6b + b2 = 0 Move the constant term to the right: Add '-9.5' to each side of the equation. 9.5 + 6b + -9.5 + b2 = 0 + -9.5 Reorder the terms: 9.5 + -9.5 + 6b + b2 = 0 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 6b + b2 = 0 + -9.5 6b + b2 = 0 + -9.5 Combine like terms: 0 + -9.5 = -9.5 6b + b2 = -9.5 The b term is 6b. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6b + 9 + b2 = -9.5 + 9 Reorder the terms: 9 + 6b + b2 = -9.5 + 9 Combine like terms: -9.5 + 9 = -0.5 9 + 6b + b2 = -0.5 Factor a perfect square on the left side: (b + 3)(b + 3) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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