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Simplifying x4 + 36x2 + 6400 = 0 Reorder the terms: 6400 + 36x2 + x4 = 0 Solving 6400 + 36x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-6400' to each side of the equation. 6400 + 36x2 + -6400 + x4 = 0 + -6400 Reorder the terms: 6400 + -6400 + 36x2 + x4 = 0 + -6400 Combine like terms: 6400 + -6400 = 0 0 + 36x2 + x4 = 0 + -6400 36x2 + x4 = 0 + -6400 Combine like terms: 0 + -6400 = -6400 36x2 + x4 = -6400 The x term is 36x2. Take half its coefficient (18). Square it (324) and add it to both sides. Add '324' to each side of the equation. 36x2 + 324 + x4 = -6400 + 324 Reorder the terms: 324 + 36x2 + x4 = -6400 + 324 Combine like terms: -6400 + 324 = -6076 324 + 36x2 + x4 = -6076 Factor a perfect square on the left side: (x2 + 18)(x2 + 18) = -6076 Can't calculate square root of the right side. The solution to this equation could not be determined.
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