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Simplifying (x4) + (4x2) + 400 = 0 x4 + (4x2) + 400 = 0 Reorder the terms: 400 + (4x2) + x4 = 0 Solving 400 + (4x2) + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + (4x2) + -400 + x4 = 0 + -400 Reorder the terms: 400 + -400 + (4x2) + x4 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + (4x2) + x4 = 0 + -400 (4x2) + x4 = 0 + -400 Combine like terms: 0 + -400 = -400 (4x2) + x4 = -400 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 = -400 + 4 Reorder the terms: 4 + (4x2) + x4 = -400 + 4 Combine like terms: -400 + 4 = -396 4 + (4x2) + x4 = -396 Factor a perfect square on the left side: (x2 + 2)(x2 + 2) = -396 Can't calculate square root of the right side. The solution to this equation could not be determined.
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