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Simplifying 2a4 + -6a2 + 9 = 0 Reorder the terms: 9 + -6a2 + 2a4 = 0 Solving 9 + -6a2 + 2a4 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + -3a2 + a4 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -3a2 + -4.5 + a4 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -3a2 + a4 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -3a2 + a4 = 0 + -4.5 -3a2 + a4 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -3a2 + a4 = -4.5 The a term is -3a2. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3a2 + 2.25 + a4 = -4.5 + 2.25 Reorder the terms: 2.25 + -3a2 + a4 = -4.5 + 2.25 Combine like terms: -4.5 + 2.25 = -2.25 2.25 + -3a2 + a4 = -2.25 Factor a perfect square on the left side: (a2 + -1.5)(a2 + -1.5) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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