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Simplifying a4 + -1a2 + 5 = 0 Reorder the terms: 5 + -1a2 + a4 = 0 Solving 5 + -1a2 + a4 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1a2 + -5 + a4 = 0 + -5 Reorder the terms: 5 + -5 + -1a2 + a4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a2 + a4 = 0 + -5 -1a2 + a4 = 0 + -5 Combine like terms: 0 + -5 = -5 -1a2 + a4 = -5 The a term is -1a2. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1a2 + 0.25 + a4 = -5 + 0.25 Reorder the terms: 0.25 + -1a2 + a4 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + -1a2 + a4 = -4.75 Factor a perfect square on the left side: (a2 + -0.5)(a2 + -0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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