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Simplifying x4 + 10x2 + 49 = 0 Reorder the terms: 49 + 10x2 + x4 = 0 Solving 49 + 10x2 + 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 + 10x2 + -49 + x4 = 0 + -49 Reorder the terms: 49 + -49 + 10x2 + x4 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 10x2 + x4 = 0 + -49 10x2 + x4 = 0 + -49 Combine like terms: 0 + -49 = -49 10x2 + x4 = -49 The x term is 10x2. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x2 + 25 + x4 = -49 + 25 Reorder the terms: 25 + 10x2 + x4 = -49 + 25 Combine like terms: -49 + 25 = -24 25 + 10x2 + x4 = -24 Factor a perfect square on the left side: (x2 + 5)(x2 + 5) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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