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Simplifying 12b2 + 11b = -3 Reorder the terms: 11b + 12b2 = -3 Solving 11b + 12b2 = -3 Solving for variable 'b'. Reorder the terms: 3 + 11b + 12b2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 11b + 12b2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.25 + 0.9166666667b + b2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.9166666667b + -0.25 + b2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.9166666667b + b2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.9166666667b + b2 = 0 + -0.25 0.9166666667b + b2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.9166666667b + b2 = -0.25 The b term is 0.9166666667b. Take half its coefficient (0.4583333334). Square it (0.2100694445) and add it to both sides. Add '0.2100694445' to each side of the equation. 0.9166666667b + 0.2100694445 + b2 = -0.25 + 0.2100694445 Reorder the terms: 0.2100694445 + 0.9166666667b + b2 = -0.25 + 0.2100694445 Combine like terms: -0.25 + 0.2100694445 = -0.0399305555 0.2100694445 + 0.9166666667b + b2 = -0.0399305555 Factor a perfect square on the left side: (b + 0.4583333334)(b + 0.4583333334) = -0.0399305555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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