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Simplifying x4 + -25x2 + 200 = 0 Reorder the terms: 200 + -25x2 + x4 = 0 Solving 200 + -25x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-200' to each side of the equation. 200 + -25x2 + -200 + x4 = 0 + -200 Reorder the terms: 200 + -200 + -25x2 + x4 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -25x2 + x4 = 0 + -200 -25x2 + x4 = 0 + -200 Combine like terms: 0 + -200 = -200 -25x2 + x4 = -200 The x term is -25x2. Take half its coefficient (-12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. -25x2 + 156.25 + x4 = -200 + 156.25 Reorder the terms: 156.25 + -25x2 + x4 = -200 + 156.25 Combine like terms: -200 + 156.25 = -43.75 156.25 + -25x2 + x4 = -43.75 Factor a perfect square on the left side: (x2 + -12.5)(x2 + -12.5) = -43.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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