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Simplifying x4 + -4x2 + 8 = 0 Reorder the terms: 8 + -4x2 + x4 = 0 Solving 8 + -4x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4x2 + -8 + x4 = 0 + -8 Reorder the terms: 8 + -8 + -4x2 + x4 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4x2 + x4 = 0 + -8 -4x2 + x4 = 0 + -8 Combine like terms: 0 + -8 = -8 -4x2 + x4 = -8 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 = -8 + 4 Reorder the terms: 4 + -4x2 + x4 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + -4x2 + x4 = -4 Factor a perfect square on the left side: (x2 + -2)(x2 + -2) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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