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Simplifying b4 + 2b2 + 15 = 0 Reorder the terms: 15 + 2b2 + b4 = 0 Solving 15 + 2b2 + b4 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 2b2 + -15 + b4 = 0 + -15 Reorder the terms: 15 + -15 + 2b2 + b4 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2b2 + b4 = 0 + -15 2b2 + b4 = 0 + -15 Combine like terms: 0 + -15 = -15 2b2 + b4 = -15 The b term is 2b2. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2b2 + 1 + b4 = -15 + 1 Reorder the terms: 1 + 2b2 + b4 = -15 + 1 Combine like terms: -15 + 1 = -14 1 + 2b2 + b4 = -14 Factor a perfect square on the left side: (b2 + 1)(b2 + 1) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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