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Simplifying (6x + 5y)(6x + 5y)(6x + 5y)(6x + 5y) = 0 Multiply (6x + 5y) * (6x + 5y) (6x * (6x + 5y) + 5y * (6x + 5y))(6x + 5y)(6x + 5y) = 0 ((6x * 6x + 5y * 6x) + 5y * (6x + 5y))(6x + 5y)(6x + 5y) = 0 Reorder the terms: ((30xy + 36x2) + 5y * (6x + 5y))(6x + 5y)(6x + 5y) = 0 ((30xy + 36x2) + 5y * (6x + 5y))(6x + 5y)(6x + 5y) = 0 (30xy + 36x2 + (6x * 5y + 5y * 5y))(6x + 5y)(6x + 5y) = 0 (30xy + 36x2 + (30xy + 25y2))(6x + 5y)(6x + 5y) = 0 Reorder the terms: (30xy + 30xy + 36x2 + 25y2)(6x + 5y)(6x + 5y) = 0 Combine like terms: 30xy + 30xy = 60xy (60xy + 36x2 + 25y2)(6x + 5y)(6x + 5y) = 0 Multiply (60xy + 36x2 + 25y2) * (6x + 5y) (60xy * (6x + 5y) + 36x2 * (6x + 5y) + 25y2 * (6x + 5y))(6x + 5y) = 0 ((6x * 60xy + 5y * 60xy) + 36x2 * (6x + 5y) + 25y2 * (6x + 5y))(6x + 5y) = 0 Reorder the terms: ((300xy2 + 360x2y) + 36x2 * (6x + 5y) + 25y2 * (6x + 5y))(6x + 5y) = 0 ((300xy2 + 360x2y) + 36x2 * (6x + 5y) + 25y2 * (6x + 5y))(6x + 5y) = 0 (300xy2 + 360x2y + (6x * 36x2 + 5y * 36x2) + 25y2 * (6x + 5y))(6x + 5y) = 0 Reorder the terms: (300xy2 + 360x2y + (180x2y + 216x3) + 25y2 * (6x + 5y))(6x + 5y) = 0 (300xy2 + 360x2y + (180x2y + 216x3) + 25y2 * (6x + 5y))(6x + 5y) = 0 (300xy2 + 360x2y + 180x2y + 216x3 + (6x * 25y2 + 5y * 25y2))(6x + 5y) = 0 (300xy2 + 360x2y + 180x2y + 216x3 + (150xy2 + 125y3))(6x + 5y) = 0 Reorder the terms: (300xy2 + 150xy2 + 360x2y + 180x2y + 216x3 + 125y3)(6x + 5y) = 0 Combine like terms: 300xy2 + 150xy2 = 450xy2 (450xy2 + 360x2y + 180x2y + 216x3 + 125y3)(6x + 5y) = 0 Combine like terms: 360x2y + 180x2y = 540x2y (450xy2 + 540x2y + 216x3 + 125y3)(6x + 5y) = 0 Multiply (450xy2 + 540x2y + 216x3 + 125y3) * (6x + 5y) (450xy2 * (6x + 5y) + 540x2y * (6x + 5y) + 216x3 * (6x + 5y) + 125y3 * (6x + 5y)) = 0 ((6x * 450xy2 + 5y * 450xy2) + 540x2y * (6x + 5y) + 216x3 * (6x + 5y) + 125y3 * (6x + 5y)) = 0 Reorder the terms: ((2250xy3 + 2700x2y2) + 540x2y * (6x + 5y) + 216x3 * (6x + 5y) + 125y3 * (6x + 5y)) = 0 ((2250xy3 + 2700x2y2) + 540x2y * (6x + 5y) + 216x3 * (6x + 5y) + 125y3 * (6x + 5y)) = 0 (2250xy3 + 2700x2y2 + (6x * 540x2y + 5y * 540x2y) + 216x3 * (6x + 5y) + 125y3 * (6x + 5y)) = 0 Reorder the terms: (2250xy3 + 2700x2y2 + (2700x2y2 + 3240x3y) + 216x3 * (6x + 5y) + 125y3 * (6x + 5y)) = 0 (2250xy3 + 2700x2y2 + (2700x2y2 + 3240x3y) + 216x3 * (6x + 5y) + 125y3 * (6x + 5y)) = 0 (2250xy3 + 2700x2y2 + 2700x2y2 + 3240x3y + (6x * 216x3 + 5y * 216x3) + 125y3 * (6x + 5y)) = 0 Reorder the terms: (2250xy3 + 2700x2y2 + 2700x2y2 + 3240x3y + (1080x3y + 1296x4) + 125y3 * (6x + 5y)) = 0 (2250xy3 + 2700x2y2 + 2700x2y2 + 3240x3y + (1080x3y + 1296x4) + 125y3 * (6x + 5y)) = 0 (2250xy3 + 2700x2y2 + 2700x2y2 + 3240x3y + 1080x3y + 1296x4 + (6x * 125y3 + 5y * 125y3)) = 0 (2250xy3 + 2700x2y2 + 2700x2y2 + 3240x3y + 1080x3y + 1296x4 + (750xy3 + 625y4)) = 0 Reorder the terms: (2250xy3 + 750xy3 + 2700x2y2 + 2700x2y2 + 3240x3y + 1080x3y + 1296x4 + 625y4) = 0 Combine like terms: 2250xy3 + 750xy3 = 3000xy3 (3000xy3 + 2700x2y2 + 2700x2y2 + 3240x3y + 1080x3y + 1296x4 + 625y4) = 0 Combine like terms: 2700x2y2 + 2700x2y2 = 5400x2y2 (3000xy3 + 5400x2y2 + 3240x3y + 1080x3y + 1296x4 + 625y4) = 0 Combine like terms: 3240x3y + 1080x3y = 4320x3y (3000xy3 + 5400x2y2 + 4320x3y + 1296x4 + 625y4) = 0 Solving 3000xy3 + 5400x2y2 + 4320x3y + 1296x4 + 625y4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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