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Simplifying a4 + -2a2 + 24 = 0 Reorder the terms: 24 + -2a2 + a4 = 0 Solving 24 + -2a2 + a4 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -2a2 + -24 + a4 = 0 + -24 Reorder the terms: 24 + -24 + -2a2 + a4 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2a2 + a4 = 0 + -24 -2a2 + a4 = 0 + -24 Combine like terms: 0 + -24 = -24 -2a2 + a4 = -24 The a term is -2a2. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2a2 + 1 + a4 = -24 + 1 Reorder the terms: 1 + -2a2 + a4 = -24 + 1 Combine like terms: -24 + 1 = -23 1 + -2a2 + a4 = -23 Factor a perfect square on the left side: (a2 + -1)(a2 + -1) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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