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Simplifying 14b2 = 23b + -15 Reorder the terms: 14b2 = -15 + 23b Solving 14b2 = -15 + 23b Solving for variable 'b'. Reorder the terms: 15 + -23b + 14b2 = -15 + 23b + 15 + -23b Reorder the terms: 15 + -23b + 14b2 = -15 + 15 + 23b + -23b Combine like terms: -15 + 15 = 0 15 + -23b + 14b2 = 0 + 23b + -23b 15 + -23b + 14b2 = 23b + -23b Combine like terms: 23b + -23b = 0 15 + -23b + 14b2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.071428571 + -1.642857143b + b2 = 0 Move the constant term to the right: Add '-1.071428571' to each side of the equation. 1.071428571 + -1.642857143b + -1.071428571 + b2 = 0 + -1.071428571 Reorder the terms: 1.071428571 + -1.071428571 + -1.642857143b + b2 = 0 + -1.071428571 Combine like terms: 1.071428571 + -1.071428571 = 0.000000000 0.000000000 + -1.642857143b + b2 = 0 + -1.071428571 -1.642857143b + b2 = 0 + -1.071428571 Combine like terms: 0 + -1.071428571 = -1.071428571 -1.642857143b + b2 = -1.071428571 The b term is -1.642857143b. Take half its coefficient (-0.8214285715). Square it (0.6747448981) and add it to both sides. Add '0.6747448981' to each side of the equation. -1.642857143b + 0.6747448981 + b2 = -1.071428571 + 0.6747448981 Reorder the terms: 0.6747448981 + -1.642857143b + b2 = -1.071428571 + 0.6747448981 Combine like terms: -1.071428571 + 0.6747448981 = -0.3966836729 0.6747448981 + -1.642857143b + b2 = -0.3966836729 Factor a perfect square on the left side: (b + -0.8214285715)(b + -0.8214285715) = -0.3966836729 Can't calculate square root of the right side. The solution to this equation could not be determined.
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