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Simplifying x4 + 4x2 + 7 = 0 Reorder the terms: 7 + 4x2 + x4 = 0 Solving 7 + 4x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4x2 + -7 + x4 = 0 + -7 Reorder the terms: 7 + -7 + 4x2 + x4 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x2 + x4 = 0 + -7 4x2 + x4 = 0 + -7 Combine like terms: 0 + -7 = -7 4x2 + x4 = -7 The x term is 4x2. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x2 + 4 + x4 = -7 + 4 Reorder the terms: 4 + 4x2 + x4 = -7 + 4 Combine like terms: -7 + 4 = -3 4 + 4x2 + x4 = -3 Factor a perfect square on the left side: (x2 + 2)(x2 + 2) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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