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Simplifying x4 + -43x2 + 484 = 0 Reorder the terms: 484 + -43x2 + x4 = 0 Solving 484 + -43x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-484' to each side of the equation. 484 + -43x2 + -484 + x4 = 0 + -484 Reorder the terms: 484 + -484 + -43x2 + x4 = 0 + -484 Combine like terms: 484 + -484 = 0 0 + -43x2 + x4 = 0 + -484 -43x2 + x4 = 0 + -484 Combine like terms: 0 + -484 = -484 -43x2 + x4 = -484 The x term is -43x2. Take half its coefficient (-21.5). Square it (462.25) and add it to both sides. Add '462.25' to each side of the equation. -43x2 + 462.25 + x4 = -484 + 462.25 Reorder the terms: 462.25 + -43x2 + x4 = -484 + 462.25 Combine like terms: -484 + 462.25 = -21.75 462.25 + -43x2 + x4 = -21.75 Factor a perfect square on the left side: (x2 + -21.5)(x2 + -21.5) = -21.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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