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Simplifying (3x + 4y)(8x + -6y) = 1 Multiply (3x + 4y) * (8x + -6y) (3x * (8x + -6y) + 4y * (8x + -6y)) = 1 ((8x * 3x + -6y * 3x) + 4y * (8x + -6y)) = 1 Reorder the terms: ((-18xy + 24x2) + 4y * (8x + -6y)) = 1 ((-18xy + 24x2) + 4y * (8x + -6y)) = 1 (-18xy + 24x2 + (8x * 4y + -6y * 4y)) = 1 (-18xy + 24x2 + (32xy + -24y2)) = 1 Reorder the terms: (-18xy + 32xy + 24x2 + -24y2) = 1 Combine like terms: -18xy + 32xy = 14xy (14xy + 24x2 + -24y2) = 1 Solving 14xy + 24x2 + -24y2 = 1 Solving for variable 'x'. Reorder the terms: -1 + 14xy + 24x2 + -24y2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 14xy + 24x2 + -24y2 = 0 The solution to this equation could not be determined.
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