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Simplifying (5b2 + 8b + -1) + -1(-2b2 + -8) = 0 Reorder the terms: (-1 + 8b + 5b2) + -1(-2b2 + -8) = 0 Remove parenthesis around (-1 + 8b + 5b2) -1 + 8b + 5b2 + -1(-2b2 + -8) = 0 Reorder the terms: -1 + 8b + 5b2 + -1(-8 + -2b2) = 0 -1 + 8b + 5b2 + (-8 * -1 + -2b2 * -1) = 0 -1 + 8b + 5b2 + (8 + 2b2) = 0 Reorder the terms: -1 + 8 + 8b + 5b2 + 2b2 = 0 Combine like terms: -1 + 8 = 7 7 + 8b + 5b2 + 2b2 = 0 Combine like terms: 5b2 + 2b2 = 7b2 7 + 8b + 7b2 = 0 Solving 7 + 8b + 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'. 1 + 1.142857143b + b2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.142857143b + -1 + b2 = 0 + -1 Reorder the terms: 1 + -1 + 1.142857143b + b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.142857143b + b2 = 0 + -1 1.142857143b + b2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.142857143b + b2 = -1 The b term is 1.142857143b. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143b + 0.3265306123 + b2 = -1 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143b + b2 = -1 + 0.3265306123 Combine like terms: -1 + 0.3265306123 = -0.6734693877 0.3265306123 + 1.142857143b + b2 = -0.6734693877 Factor a perfect square on the left side: (b + 0.5714285715)(b + 0.5714285715) = -0.6734693877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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