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Simplifying x4 + -1 + -1x2 + 24 = 0 Reorder the terms: -1 + 24 + -1x2 + x4 = 0 Combine like terms: -1 + 24 = 23 23 + -1x2 + x4 = 0 Solving 23 + -1x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + -1x2 + -23 + x4 = 0 + -23 Reorder the terms: 23 + -23 + -1x2 + x4 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x2 + x4 = 0 + -23 -1x2 + x4 = 0 + -23 Combine like terms: 0 + -23 = -23 -1x2 + x4 = -23 The x term is -1x2. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x2 + 0.25 + x4 = -23 + 0.25 Reorder the terms: 0.25 + -1x2 + x4 = -23 + 0.25 Combine like terms: -23 + 0.25 = -22.75 0.25 + -1x2 + x4 = -22.75 Factor a perfect square on the left side: (x2 + -0.5)(x2 + -0.5) = -22.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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