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Simplifying (2t + -5)(7t + -6)(7t + 6) = 0 Reorder the terms: (-5 + 2t)(7t + -6)(7t + 6) = 0 Reorder the terms: (-5 + 2t)(-6 + 7t)(7t + 6) = 0 Reorder the terms: (-5 + 2t)(-6 + 7t)(6 + 7t) = 0 Multiply (-5 + 2t) * (-6 + 7t) (-5(-6 + 7t) + 2t * (-6 + 7t))(6 + 7t) = 0 ((-6 * -5 + 7t * -5) + 2t * (-6 + 7t))(6 + 7t) = 0 ((30 + -35t) + 2t * (-6 + 7t))(6 + 7t) = 0 (30 + -35t + (-6 * 2t + 7t * 2t))(6 + 7t) = 0 (30 + -35t + (-12t + 14t2))(6 + 7t) = 0 Combine like terms: -35t + -12t = -47t (30 + -47t + 14t2)(6 + 7t) = 0 Multiply (30 + -47t + 14t2) * (6 + 7t) (30(6 + 7t) + -47t * (6 + 7t) + 14t2 * (6 + 7t)) = 0 ((6 * 30 + 7t * 30) + -47t * (6 + 7t) + 14t2 * (6 + 7t)) = 0 ((180 + 210t) + -47t * (6 + 7t) + 14t2 * (6 + 7t)) = 0 (180 + 210t + (6 * -47t + 7t * -47t) + 14t2 * (6 + 7t)) = 0 (180 + 210t + (-282t + -329t2) + 14t2 * (6 + 7t)) = 0 (180 + 210t + -282t + -329t2 + (6 * 14t2 + 7t * 14t2)) = 0 (180 + 210t + -282t + -329t2 + (84t2 + 98t3)) = 0 Combine like terms: 210t + -282t = -72t (180 + -72t + -329t2 + 84t2 + 98t3) = 0 Combine like terms: -329t2 + 84t2 = -245t2 (180 + -72t + -245t2 + 98t3) = 0 Solving 180 + -72t + -245t2 + 98t3 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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