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Simplifying (6r2 + -8r + -5)(-3r2 + -4r + -1) = 0 Reorder the terms: (-5 + -8r + 6r2)(-3r2 + -4r + -1) = 0 Reorder the terms: (-5 + -8r + 6r2)(-1 + -4r + -3r2) = 0 Multiply (-5 + -8r + 6r2) * (-1 + -4r + -3r2) (-5(-1 + -4r + -3r2) + -8r * (-1 + -4r + -3r2) + 6r2 * (-1 + -4r + -3r2)) = 0 ((-1 * -5 + -4r * -5 + -3r2 * -5) + -8r * (-1 + -4r + -3r2) + 6r2 * (-1 + -4r + -3r2)) = 0 ((5 + 20r + 15r2) + -8r * (-1 + -4r + -3r2) + 6r2 * (-1 + -4r + -3r2)) = 0 (5 + 20r + 15r2 + (-1 * -8r + -4r * -8r + -3r2 * -8r) + 6r2 * (-1 + -4r + -3r2)) = 0 (5 + 20r + 15r2 + (8r + 32r2 + 24r3) + 6r2 * (-1 + -4r + -3r2)) = 0 (5 + 20r + 15r2 + 8r + 32r2 + 24r3 + (-1 * 6r2 + -4r * 6r2 + -3r2 * 6r2)) = 0 (5 + 20r + 15r2 + 8r + 32r2 + 24r3 + (-6r2 + -24r3 + -18r4)) = 0 Reorder the terms: (5 + 20r + 8r + 15r2 + 32r2 + -6r2 + 24r3 + -24r3 + -18r4) = 0 Combine like terms: 20r + 8r = 28r (5 + 28r + 15r2 + 32r2 + -6r2 + 24r3 + -24r3 + -18r4) = 0 Combine like terms: 15r2 + 32r2 = 47r2 (5 + 28r + 47r2 + -6r2 + 24r3 + -24r3 + -18r4) = 0 Combine like terms: 47r2 + -6r2 = 41r2 (5 + 28r + 41r2 + 24r3 + -24r3 + -18r4) = 0 Combine like terms: 24r3 + -24r3 = 0 (5 + 28r + 41r2 + 0 + -18r4) = 0 (5 + 28r + 41r2 + -18r4) = 0 Solving 5 + 28r + 41r2 + -18r4 = 0 Solving for variable 'r'. The solution to this equation could not be determined.
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