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Simplifying (2x + 5y)(x + y) = 1 Multiply (2x + 5y) * (x + y) (2x * (x + y) + 5y * (x + y)) = 1 ((x * 2x + y * 2x) + 5y * (x + y)) = 1 Reorder the terms: ((2xy + 2x2) + 5y * (x + y)) = 1 ((2xy + 2x2) + 5y * (x + y)) = 1 (2xy + 2x2 + (x * 5y + y * 5y)) = 1 (2xy + 2x2 + (5xy + 5y2)) = 1 Reorder the terms: (2xy + 5xy + 2x2 + 5y2) = 1 Combine like terms: 2xy + 5xy = 7xy (7xy + 2x2 + 5y2) = 1 Solving 7xy + 2x2 + 5y2 = 1 Solving for variable 'x'. Reorder the terms: -1 + 7xy + 2x2 + 5y2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 7xy + 2x2 + 5y2 = 0 The solution to this equation could not be determined.
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