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Simplifying 8b4 + 3b2 + 2 = 0 Reorder the terms: 2 + 3b2 + 8b4 = 0 Solving 2 + 3b2 + 8b4 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.25 + 0.375b2 + b4 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.375b2 + -0.25 + b4 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.375b2 + b4 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.375b2 + b4 = 0 + -0.25 0.375b2 + b4 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.375b2 + b4 = -0.25 The b term is 0.375b2. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375b2 + 0.03515625 + b4 = -0.25 + 0.03515625 Reorder the terms: 0.03515625 + 0.375b2 + b4 = -0.25 + 0.03515625 Combine like terms: -0.25 + 0.03515625 = -0.21484375 0.03515625 + 0.375b2 + b4 = -0.21484375 Factor a perfect square on the left side: (b2 + 0.1875)(b2 + 0.1875) = -0.21484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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