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Simplifying 6b2 + -13b + 6 = -3 Reorder the terms: 6 + -13b + 6b2 = -3 Solving 6 + -13b + 6b2 = -3 Solving for variable 'b'. Reorder the terms: 6 + 3 + -13b + 6b2 = -3 + 3 Combine like terms: 6 + 3 = 9 9 + -13b + 6b2 = -3 + 3 Combine like terms: -3 + 3 = 0 9 + -13b + 6b2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.5 + -2.166666667b + b2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -2.166666667b + -1.5 + b2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -2.166666667b + b2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2.166666667b + b2 = 0 + -1.5 -2.166666667b + b2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -2.166666667b + b2 = -1.5 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 = -1.5 + 1.173611113 Reorder the terms: 1.173611113 + -2.166666667b + b2 = -1.5 + 1.173611113 Combine like terms: -1.5 + 1.173611113 = -0.326388887 1.173611113 + -2.166666667b + b2 = -0.326388887 Factor a perfect square on the left side: (b + -1.083333334)(b + -1.083333334) = -0.326388887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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