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Simplifying 5b2 + 9b + 3 = -2 + -9b2 Reorder the terms: 3 + 9b + 5b2 = -2 + -9b2 Solving 3 + 9b + 5b2 = -2 + -9b2 Solving for variable 'b'. Reorder the terms: 3 + 2 + 9b + 5b2 + 9b2 = -2 + -9b2 + 2 + 9b2 Combine like terms: 3 + 2 = 5 5 + 9b + 5b2 + 9b2 = -2 + -9b2 + 2 + 9b2 Combine like terms: 5b2 + 9b2 = 14b2 5 + 9b + 14b2 = -2 + -9b2 + 2 + 9b2 Reorder the terms: 5 + 9b + 14b2 = -2 + 2 + -9b2 + 9b2 Combine like terms: -2 + 2 = 0 5 + 9b + 14b2 = 0 + -9b2 + 9b2 5 + 9b + 14b2 = -9b2 + 9b2 Combine like terms: -9b2 + 9b2 = 0 5 + 9b + 14b2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.3571428571 + 0.6428571429b + b2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + 0.6428571429b + -0.3571428571 + b2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + 0.6428571429b + b2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + 0.6428571429b + b2 = 0 + -0.3571428571 0.6428571429b + b2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 0.6428571429b + b2 = -0.3571428571 The b term is 0.6428571429b. Take half its coefficient (0.3214285715). Square it (0.1033163266) and add it to both sides. Add '0.1033163266' to each side of the equation. 0.6428571429b + 0.1033163266 + b2 = -0.3571428571 + 0.1033163266 Reorder the terms: 0.1033163266 + 0.6428571429b + b2 = -0.3571428571 + 0.1033163266 Combine like terms: -0.3571428571 + 0.1033163266 = -0.2538265305 0.1033163266 + 0.6428571429b + b2 = -0.2538265305 Factor a perfect square on the left side: (b + 0.3214285715)(b + 0.3214285715) = -0.2538265305 Can't calculate square root of the right side. The solution to this equation could not be determined.
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