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Simplifying 3b2 + -11b + 30 = 0 Reorder the terms: 30 + -11b + 3b2 = 0 Solving 30 + -11b + 3b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10 + -3.666666667b + b2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3.666666667b + -10 + b2 = 0 + -10 Reorder the terms: 10 + -10 + -3.666666667b + b2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3.666666667b + b2 = 0 + -10 -3.666666667b + b2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3.666666667b + b2 = -10 The b term is -3.666666667b. Take half its coefficient (-1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. -3.666666667b + 3.361111114 + b2 = -10 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667b + b2 = -10 + 3.361111114 Combine like terms: -10 + 3.361111114 = -6.638888886 3.361111114 + -3.666666667b + b2 = -6.638888886 Factor a perfect square on the left side: (b + -1.833333334)(b + -1.833333334) = -6.638888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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