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Simplifying 7b2 = -6 + b Solving 7b2 = -6 + b Solving for variable 'b'. Reorder the terms: 6 + -1b + 7b2 = -6 + b + 6 + -1b Reorder the terms: 6 + -1b + 7b2 = -6 + 6 + b + -1b Combine like terms: -6 + 6 = 0 6 + -1b + 7b2 = 0 + b + -1b 6 + -1b + 7b2 = b + -1b Combine like terms: b + -1b = 0 6 + -1b + 7b2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.8571428571 + -0.1428571429b + b2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -0.1428571429b + -0.8571428571 + b2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -0.1428571429b + b2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -0.1428571429b + b2 = 0 + -0.8571428571 -0.1428571429b + b2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -0.1428571429b + b2 = -0.8571428571 The b term is -0.1428571429b. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429b + 0.005102040819 + b2 = -0.8571428571 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429b + b2 = -0.8571428571 + 0.005102040819 Combine like terms: -0.8571428571 + 0.005102040819 = -0.852040816281 0.005102040819 + -0.1428571429b + b2 = -0.852040816281 Factor a perfect square on the left side: (b + -0.07142857145)(b + -0.07142857145) = -0.852040816281 Can't calculate square root of the right side. The solution to this equation could not be determined.
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