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Simplifying x4 + 24(x2) + 400 = 0 Reorder the terms: 400 + 24x2 + x4 = 0 Solving 400 + 24x2 + 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 + 24x2 + -400 + x4 = 0 + -400 Reorder the terms: 400 + -400 + 24x2 + x4 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 24x2 + x4 = 0 + -400 24x2 + x4 = 0 + -400 Combine like terms: 0 + -400 = -400 24x2 + x4 = -400 The x term is 24x2. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x2 + 144 + x4 = -400 + 144 Reorder the terms: 144 + 24x2 + x4 = -400 + 144 Combine like terms: -400 + 144 = -256 144 + 24x2 + x4 = -256 Factor a perfect square on the left side: (x2 + 12)(x2 + 12) = -256 Can't calculate square root of the right side. The solution to this equation could not be determined.
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