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Simplifying 19b(b) + 19b + 6 = 0 Multiply b * b 19b2 + 19b + 6 = 0 Reorder the terms: 6 + 19b + 19b2 = 0 Solving 6 + 19b + 19b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 0.3157894737 + b + b2 = 0 Move the constant term to the right: Add '-0.3157894737' to each side of the equation. 0.3157894737 + b + -0.3157894737 + b2 = 0 + -0.3157894737 Reorder the terms: 0.3157894737 + -0.3157894737 + b + b2 = 0 + -0.3157894737 Combine like terms: 0.3157894737 + -0.3157894737 = 0.0000000000 0.0000000000 + b + b2 = 0 + -0.3157894737 b + b2 = 0 + -0.3157894737 Combine like terms: 0 + -0.3157894737 = -0.3157894737 b + b2 = -0.3157894737 The b term is b. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + b2 = -0.3157894737 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + b2 = -0.3157894737 + 0.25 Combine like terms: -0.3157894737 + 0.25 = -0.0657894737 1.25 + b2 = -0.0657894737 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -0.0657894737 Can't calculate square root of the right side. The solution to this equation could not be determined.
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