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Simplifying x4 + 8x2 + 20 = 0 Reorder the terms: 20 + 8x2 + x4 = 0 Solving 20 + 8x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 8x2 + -20 + x4 = 0 + -20 Reorder the terms: 20 + -20 + 8x2 + x4 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 8x2 + x4 = 0 + -20 8x2 + x4 = 0 + -20 Combine like terms: 0 + -20 = -20 8x2 + x4 = -20 The x term is 8x2. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x2 + 16 + x4 = -20 + 16 Reorder the terms: 16 + 8x2 + x4 = -20 + 16 Combine like terms: -20 + 16 = -4 16 + 8x2 + x4 = -4 Factor a perfect square on the left side: (x2 + 4)(x2 + 4) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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