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Simplifying (9x + y)(9x + -1y) = 2 Multiply (9x + y) * (9x + -1y) (9x * (9x + -1y) + y(9x + -1y)) = 2 ((9x * 9x + -1y * 9x) + y(9x + -1y)) = 2 Reorder the terms: ((-9xy + 81x2) + y(9x + -1y)) = 2 ((-9xy + 81x2) + y(9x + -1y)) = 2 (-9xy + 81x2 + (9x * y + -1y * y)) = 2 (-9xy + 81x2 + (9xy + -1y2)) = 2 Reorder the terms: (-9xy + 9xy + 81x2 + -1y2) = 2 Combine like terms: -9xy + 9xy = 0 (0 + 81x2 + -1y2) = 2 (81x2 + -1y2) = 2 Solving 81x2 + -1y2 = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 81x2 + -1y2 + y2 = 2 + y2 Combine like terms: -1y2 + y2 = 0 81x2 + 0 = 2 + y2 81x2 = 2 + y2 Divide each side by '81'. x2 = 0.02469135802 + 0.01234567901y2 Simplifying x2 = 0.02469135802 + 0.01234567901y2 Reorder the terms: -0.02469135802 + x2 + -0.01234567901y2 = 0.02469135802 + 0.01234567901y2 + -0.02469135802 + -0.01234567901y2 Reorder the terms: -0.02469135802 + x2 + -0.01234567901y2 = 0.02469135802 + -0.02469135802 + 0.01234567901y2 + -0.01234567901y2 Combine like terms: 0.02469135802 + -0.02469135802 = 0.00000000000 -0.02469135802 + x2 + -0.01234567901y2 = 0.00000000000 + 0.01234567901y2 + -0.01234567901y2 -0.02469135802 + x2 + -0.01234567901y2 = 0.01234567901y2 + -0.01234567901y2 Combine like terms: 0.01234567901y2 + -0.01234567901y2 = 0.00000000000 -0.02469135802 + x2 + -0.01234567901y2 = 0.00000000000 The solution to this equation could not be determined.
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