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Simplifying x4 + 10x2 + 33 = 0 Reorder the terms: 33 + 10x2 + x4 = 0 Solving 33 + 10x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + 10x2 + -33 + x4 = 0 + -33 Reorder the terms: 33 + -33 + 10x2 + x4 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 10x2 + x4 = 0 + -33 10x2 + x4 = 0 + -33 Combine like terms: 0 + -33 = -33 10x2 + x4 = -33 The x term is 10x2. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x2 + 25 + x4 = -33 + 25 Reorder the terms: 25 + 10x2 + x4 = -33 + 25 Combine like terms: -33 + 25 = -8 25 + 10x2 + x4 = -8 Factor a perfect square on the left side: (x2 + 5)(x2 + 5) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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