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Simplifying x4 + -25x2 + 160 = 0 Reorder the terms: 160 + -25x2 + x4 = 0 Solving 160 + -25x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + -25x2 + -160 + x4 = 0 + -160 Reorder the terms: 160 + -160 + -25x2 + x4 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -25x2 + x4 = 0 + -160 -25x2 + x4 = 0 + -160 Combine like terms: 0 + -160 = -160 -25x2 + x4 = -160 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 = -160 + 156.25 Reorder the terms: 156.25 + -25x2 + x4 = -160 + 156.25 Combine like terms: -160 + 156.25 = -3.75 156.25 + -25x2 + x4 = -3.75 Factor a perfect square on the left side: (x2 + -12.5)(x2 + -12.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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