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Simplifying x4 + -5x2 + 10 = 0 Reorder the terms: 10 + -5x2 + x4 = 0 Solving 10 + -5x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5x2 + -10 + x4 = 0 + -10 Reorder the terms: 10 + -10 + -5x2 + x4 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5x2 + x4 = 0 + -10 -5x2 + x4 = 0 + -10 Combine like terms: 0 + -10 = -10 -5x2 + x4 = -10 The x term is -5x2. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x2 + 6.25 + x4 = -10 + 6.25 Reorder the terms: 6.25 + -5x2 + x4 = -10 + 6.25 Combine like terms: -10 + 6.25 = -3.75 6.25 + -5x2 + x4 = -3.75 Factor a perfect square on the left side: (x2 + -2.5)(x2 + -2.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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