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Simplifying 1 + 4b + 6(10 + 7b2) = 0 1 + 4b + (10 * 6 + 7b2 * 6) = 0 1 + 4b + (60 + 42b2) = 0 Reorder the terms: 1 + 60 + 4b + 42b2 = 0 Combine like terms: 1 + 60 = 61 61 + 4b + 42b2 = 0 Solving 61 + 4b + 42b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 42 the coefficient of the squared term: Divide each side by '42'. 1.452380952 + 0.09523809524b + b2 = 0 Move the constant term to the right: Add '-1.452380952' to each side of the equation. 1.452380952 + 0.09523809524b + -1.452380952 + b2 = 0 + -1.452380952 Reorder the terms: 1.452380952 + -1.452380952 + 0.09523809524b + b2 = 0 + -1.452380952 Combine like terms: 1.452380952 + -1.452380952 = 0.000000000 0.000000000 + 0.09523809524b + b2 = 0 + -1.452380952 0.09523809524b + b2 = 0 + -1.452380952 Combine like terms: 0 + -1.452380952 = -1.452380952 0.09523809524b + b2 = -1.452380952 The b term is 0.09523809524b. Take half its coefficient (0.04761904762). Square it (0.002267573696) and add it to both sides. Add '0.002267573696' to each side of the equation. 0.09523809524b + 0.002267573696 + b2 = -1.452380952 + 0.002267573696 Reorder the terms: 0.002267573696 + 0.09523809524b + b2 = -1.452380952 + 0.002267573696 Combine like terms: -1.452380952 + 0.002267573696 = -1.450113378304 0.002267573696 + 0.09523809524b + b2 = -1.450113378304 Factor a perfect square on the left side: (b + 0.04761904762)(b + 0.04761904762) = -1.450113378304 Can't calculate square root of the right side. The solution to this equation could not be determined.
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