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Simplifying b + 3(5b2 + 12) = 0 Reorder the terms: b + 3(12 + 5b2) = 0 b + (12 * 3 + 5b2 * 3) = 0 b + (36 + 15b2) = 0 Reorder the terms: 36 + b + 15b2 = 0 Solving 36 + b + 15b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 2.4 + 0.06666666667b + b2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + 0.06666666667b + -2.4 + b2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + 0.06666666667b + b2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.06666666667b + b2 = 0 + -2.4 0.06666666667b + b2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 0.06666666667b + b2 = -2.4 The b term is b. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.06666666667b + 0.25 + b2 = -2.4 + 0.25 Reorder the terms: 0.25 + 0.06666666667b + b2 = -2.4 + 0.25 Combine like terms: -2.4 + 0.25 = -2.15 0.25 + 0.06666666667b + b2 = -2.15 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -2.15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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