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Simplifying 3.24b2 + -1b4 = 51.84 Solving 3.24b2 + -1b4 = 51.84 Solving for variable 'b'. Reorder the terms: -51.84 + 3.24b2 + -1b4 = 51.84 + -51.84 Combine like terms: 51.84 + -51.84 = 0.00 -51.84 + 3.24b2 + -1b4 = 0.00 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 51.84 + -3.24b2 + b4 = 0.00 Move the constant term to the right: Add '-51.84' to each side of the equation. 51.84 + -3.24b2 + -51.84 + b4 = 0.00 + -51.84 Reorder the terms: 51.84 + -51.84 + -3.24b2 + b4 = 0.00 + -51.84 Combine like terms: 51.84 + -51.84 = 0.00 0.00 + -3.24b2 + b4 = 0.00 + -51.84 -3.24b2 + b4 = 0.00 + -51.84 Combine like terms: 0.00 + -51.84 = -51.84 -3.24b2 + b4 = -51.84 The b term is -3.24b2. Take half its coefficient (-1.62). Square it (2.6244) and add it to both sides. Add '2.6244' to each side of the equation. -3.24b2 + 2.6244 + b4 = -51.84 + 2.6244 Reorder the terms: 2.6244 + -3.24b2 + b4 = -51.84 + 2.6244 Combine like terms: -51.84 + 2.6244 = -49.2156 2.6244 + -3.24b2 + b4 = -49.2156 Factor a perfect square on the left side: (b2 + -1.62)(b2 + -1.62) = -49.2156 Can't calculate square root of the right side. The solution to this equation could not be determined.
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