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Simplifying x6 + 7x3 + 64 = 0 Reorder the terms: 64 + 7x3 + x6 = 0 Solving 64 + 7x3 + x6 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + 7x3 + -64 + x6 = 0 + -64 Reorder the terms: 64 + -64 + 7x3 + x6 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 7x3 + x6 = 0 + -64 7x3 + x6 = 0 + -64 Combine like terms: 0 + -64 = -64 7x3 + x6 = -64 The x term is 7x3. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x3 + 12.25 + x6 = -64 + 12.25 Reorder the terms: 12.25 + 7x3 + x6 = -64 + 12.25 Combine like terms: -64 + 12.25 = -51.75 12.25 + 7x3 + x6 = -51.75 Factor a perfect square on the left side: (x3 + 3.5)(x3 + 3.5) = -51.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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