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Simplifying b2 + 5b + -4 * 2b2 + -3b + -4 = 0 Multiply -4 * 2 b2 + 5b + -8b2 + -3b + -4 = 0 Reorder the terms: -4 + 5b + -3b + b2 + -8b2 = 0 Combine like terms: 5b + -3b = 2b -4 + 2b + b2 + -8b2 = 0 Combine like terms: b2 + -8b2 = -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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