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Simplifying a4 + a2b2 + b4 = 0 Reorder the terms: a2b2 + a4 + b4 = 0 Solving a2b2 + a4 + b4 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-1b4' to each side of the equation. a2b2 + a4 + b4 + -1b4 = 0 + -1b4 Combine like terms: b4 + -1b4 = 0 a2b2 + a4 + 0 = 0 + -1b4 a2b2 + a4 = 0 + -1b4 Remove the zero: a2b2 + a4 = -1b4 The a term is a2b2. Take half its coefficient (0.5b2). Square it (0.25b4) and add it to both sides. Add '0.25b4' to each side of the equation. a2b2 + a4 + 0.25b4 = -1b4 + 0.25b4 Combine like terms: -1b4 + 0.25b4 = -0.75b4 a2b2 + a4 + 0.25b4 = -0.75b4 Factor a perfect square on the left side: (a2 + 0.5b2)(a2 + 0.5b2) = -0.75b4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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