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Simplifying x4 + 5x2 + 49 = 0 Reorder the terms: 49 + 5x2 + x4 = 0 Solving 49 + 5x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + 5x2 + -49 + x4 = 0 + -49 Reorder the terms: 49 + -49 + 5x2 + x4 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 5x2 + x4 = 0 + -49 5x2 + x4 = 0 + -49 Combine like terms: 0 + -49 = -49 5x2 + x4 = -49 The x term is 5x2. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x2 + 6.25 + x4 = -49 + 6.25 Reorder the terms: 6.25 + 5x2 + x4 = -49 + 6.25 Combine like terms: -49 + 6.25 = -42.75 6.25 + 5x2 + x4 = -42.75 Factor a perfect square on the left side: (x2 + 2.5)(x2 + 2.5) = -42.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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