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Simplifying 9a4 + -13a2 + 36 = 0 Reorder the terms: 36 + -13a2 + 9a4 = 0 Solving 36 + -13a2 + 9a4 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4 + -1.444444444a2 + a4 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1.444444444a2 + -4 + a4 = 0 + -4 Reorder the terms: 4 + -4 + -1.444444444a2 + a4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.444444444a2 + a4 = 0 + -4 -1.444444444a2 + a4 = 0 + -4 Combine like terms: 0 + -4 = -4 -1.444444444a2 + a4 = -4 The a term is -1.444444444a2. Take half its coefficient (-0.722222222). Square it (0.5216049380) and add it to both sides. Add '0.5216049380' to each side of the equation. -1.444444444a2 + 0.5216049380 + a4 = -4 + 0.5216049380 Reorder the terms: 0.5216049380 + -1.444444444a2 + a4 = -4 + 0.5216049380 Combine like terms: -4 + 0.5216049380 = -3.478395062 0.5216049380 + -1.444444444a2 + a4 = -3.478395062 Factor a perfect square on the left side: (a2 + -0.722222222)(a2 + -0.722222222) = -3.478395062 Can't calculate square root of the right side. The solution to this equation could not be determined.
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