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Simplifying (4x + 5y)(4x + 5y) = 1 Multiply (4x + 5y) * (4x + 5y) (4x * (4x + 5y) + 5y * (4x + 5y)) = 1 ((4x * 4x + 5y * 4x) + 5y * (4x + 5y)) = 1 Reorder the terms: ((20xy + 16x2) + 5y * (4x + 5y)) = 1 ((20xy + 16x2) + 5y * (4x + 5y)) = 1 (20xy + 16x2 + (4x * 5y + 5y * 5y)) = 1 (20xy + 16x2 + (20xy + 25y2)) = 1 Reorder the terms: (20xy + 20xy + 16x2 + 25y2) = 1 Combine like terms: 20xy + 20xy = 40xy (40xy + 16x2 + 25y2) = 1 Solving 40xy + 16x2 + 25y2 = 1 Solving for variable 'x'. Reorder the terms: -1 + 40xy + 16x2 + 25y2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 40xy + 16x2 + 25y2 = 0 The solution to this equation could not be determined.
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