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Simplifying 6b2 + -13b + 33 = -3 Reorder the terms: 33 + -13b + 6b2 = -3 Solving 33 + -13b + 6b2 = -3 Solving for variable 'b'. Reorder the terms: 33 + 3 + -13b + 6b2 = -3 + 3 Combine like terms: 33 + 3 = 36 36 + -13b + 6b2 = -3 + 3 Combine like terms: -3 + 3 = 0 36 + -13b + 6b2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 6 + -2.166666667b + b2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -2.166666667b + -6 + b2 = 0 + -6 Reorder the terms: 6 + -6 + -2.166666667b + b2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2.166666667b + b2 = 0 + -6 -2.166666667b + b2 = 0 + -6 Combine like terms: 0 + -6 = -6 -2.166666667b + b2 = -6 The b term is -2.166666667b. Take half its coefficient (-1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. -2.166666667b + 1.173611113 + b2 = -6 + 1.173611113 Reorder the terms: 1.173611113 + -2.166666667b + b2 = -6 + 1.173611113 Combine like terms: -6 + 1.173611113 = -4.826388887 1.173611113 + -2.166666667b + b2 = -4.826388887 Factor a perfect square on the left side: (b + -1.083333334)(b + -1.083333334) = -4.826388887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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