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Simplifying 3b2 + 9 + -6b + -5 + 8b + 4b2 = 0 Reorder the terms: 9 + -5 + -6b + 8b + 3b2 + 4b2 = 0 Combine like terms: 9 + -5 = 4 4 + -6b + 8b + 3b2 + 4b2 = 0 Combine like terms: -6b + 8b = 2b 4 + 2b + 3b2 + 4b2 = 0 Combine like terms: 3b2 + 4b2 = 7b2 4 + 2b + 7b2 = 0 Solving 4 + 2b + 7b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + 0.2857142857b + b2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + 0.2857142857b + -0.5714285714 + b2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + 0.2857142857b + b2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + 0.2857142857b + b2 = 0 + -0.5714285714 0.2857142857b + b2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 0.2857142857b + b2 = -0.5714285714 The b term is 0.2857142857b. Take half its coefficient (0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. 0.2857142857b + 0.02040816328 + b2 = -0.5714285714 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857b + b2 = -0.5714285714 + 0.02040816328 Combine like terms: -0.5714285714 + 0.02040816328 = -0.55102040812 0.02040816328 + 0.2857142857b + b2 = -0.55102040812 Factor a perfect square on the left side: (b + 0.1428571429)(b + 0.1428571429) = -0.55102040812 Can't calculate square root of the right side. The solution to this equation could not be determined.
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