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Simplifying 6b2 + -2b + 60 = 0 Reorder the terms: 60 + -2b + 6b2 = 0 Solving 60 + -2b + 6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(30 + -1b + 3b2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(30 + -1b + 3b2)' equal to zero and attempt to solve: Simplifying 30 + -1b + 3b2 = 0 Solving 30 + -1b + 3b2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10 + -0.3333333333b + b2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -0.3333333333b + -10 + b2 = 0 + -10 Reorder the terms: 10 + -10 + -0.3333333333b + b2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -0.3333333333b + b2 = 0 + -10 -0.3333333333b + b2 = 0 + -10 Combine like terms: 0 + -10 = -10 -0.3333333333b + b2 = -10 The b term is -0.3333333333b. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333b + 0.02777777779 + b2 = -10 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333b + b2 = -10 + 0.02777777779 Combine like terms: -10 + 0.02777777779 = -9.97222222221 0.02777777779 + -0.3333333333b + b2 = -9.97222222221 Factor a perfect square on the left side: (b + -0.1666666667)(b + -0.1666666667) = -9.97222222221 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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