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Simplifying a4 + -9a2 + 29 = 0 Reorder the terms: 29 + -9a2 + a4 = 0 Solving 29 + -9a2 + a4 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -9a2 + -29 + a4 = 0 + -29 Reorder the terms: 29 + -29 + -9a2 + a4 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -9a2 + a4 = 0 + -29 -9a2 + a4 = 0 + -29 Combine like terms: 0 + -29 = -29 -9a2 + a4 = -29 The a term is -9a2. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9a2 + 20.25 + a4 = -29 + 20.25 Reorder the terms: 20.25 + -9a2 + a4 = -29 + 20.25 Combine like terms: -29 + 20.25 = -8.75 20.25 + -9a2 + a4 = -8.75 Factor a perfect square on the left side: (a2 + -4.5)(a2 + -4.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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