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Simplifying 25b4 + -211b2 + 3024 = 0 Reorder the terms: 3024 + -211b2 + 25b4 = 0 Solving 3024 + -211b2 + 25b4 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 120.96 + -8.44b2 + b4 = 0 Move the constant term to the right: Add '-120.96' to each side of the equation. 120.96 + -8.44b2 + -120.96 + b4 = 0 + -120.96 Reorder the terms: 120.96 + -120.96 + -8.44b2 + b4 = 0 + -120.96 Combine like terms: 120.96 + -120.96 = 0.00 0.00 + -8.44b2 + b4 = 0 + -120.96 -8.44b2 + b4 = 0 + -120.96 Combine like terms: 0 + -120.96 = -120.96 -8.44b2 + b4 = -120.96 The b term is -8.44b2. Take half its coefficient (-4.22). Square it (17.8084) and add it to both sides. Add '17.8084' to each side of the equation. -8.44b2 + 17.8084 + b4 = -120.96 + 17.8084 Reorder the terms: 17.8084 + -8.44b2 + b4 = -120.96 + 17.8084 Combine like terms: -120.96 + 17.8084 = -103.1516 17.8084 + -8.44b2 + b4 = -103.1516 Factor a perfect square on the left side: (b2 + -4.22)(b2 + -4.22) = -103.1516 Can't calculate square root of the right side. The solution to this equation could not be determined.
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